what is the general process for solving an equation with one variable

Answers

Answer 1

Answer:

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:

Add -4 to both sides to isolate the variable.

Simplify.

Divide both sides by 2 to isolate the variable on one side.

Step-by-step explanation:


Related Questions

HELP!!! There is a photo please quickly!!

Answers

Answer:

∆y = 9

∆x = 6

Slope = 3/2 or 1.5

It looks like you erased it, but you had the answer correct on your paper.

Step-by-step explanation:

Given:
2x + 30 = -4(5x- 2); Prove: x=-1

Answers

Answer:

so x=-1

Step-by-step explanation:

substitute "-1" for x

so, 2(-1)+30=28

and, -4(5(-1)-2)>>-4(-5-2)>>20+8

so, 28=28

I am stuck. The questions are numbered so please type the number of the question by the answer. Please and thank you.

Answers

Answer:

#1 = -1/3

2# = -6/5

3# = 2/9

4# = 2

#5 = -2/3

Step-by-step explanation:

The slope formula is (y2 - y1) / x2 - x1. With (x1, x2) and (x2, y2) be points on the line.


Simplify each expression. Rationalize all denominators. 5√2/ √7 -√2

Answers

The rationalization of all denominators is 5.74165.

A fraction is represented inside the form of 'x/y', wherein 'x' is the numerator and 'y' is the denominator. The numerator represents the entire variety of parts taken into consideration. whereas, the denominator represents the full quantity of equal components in a fraction. The pinnacle quantity in a fragment is usually taken into consideration as a numerator.

Another phrase for a denominator is the divisor. both of those words check with the range beneath the road in a not unusual fraction. similarly, while you're speakme approximately statistical values, a denominator refers back to the whole number or population from which samples are taken.

In a fallacious fraction, the numerator is extra than or the same as the denominator and the denominator must not be the same as zero. In an incorrect fraction, the numerator is less than the denominator and the numerator is extra than 0. In an unsuitable fraction, the numerator is constantly more than the denominator.

[tex]5\sqrt{2} /\sqrt{7}- \sqrt{2}[/tex]

[tex]\frac{5\sqrt{2} }{\sqrt{7}-\sqrt{2} }[/tex]

Multiply by the conjugate

[tex]\frac{5(\sqrt{7}+\sqrt{2})\sqrt{2} }{(\sqrt{7} -\sqrt{2} )(\sqrt{7} +\sqrt{2} }[/tex]

Expand [tex](\sqrt{7} -\sqrt{2} )(\sqrt{7} +\sqrt{2} ): 5[/tex]

Factor out the common term 5

[tex]\frac{(5\sqrt{7}+5 \sqrt{2})\sqrt{2} }{5}[/tex]

Cancel the common factor: 5

[tex](\sqrt{7} +\sqrt{2}) \sqrt{2}[/tex]

[tex]= \sqrt{14} +2[/tex]

= Decimal:5.74165

Learn more about denominator here https://brainly.com/question/19249494

#SPJ4

PLEASE HELP ME
look at the pic down below

Answers

Answer:  (1) Deena and Eduardo, (2) (A) or cube root of 343

Step-by-step explanation:

Number 1 : Deena and Eduardo are correct,

16 x 16 = 256

4 x 4 x 4 = 64

Number 2 : (a) the cube  root. of 343 will give Patel the correct answer,

h^3 = 343

cube root of both sides

so, h. = cube root of 343

As a math citizen, why is it important to be able to interpret and analyze graphs?​

Answers

Data collection, analysis, and graphing are essential in the workplace. Many industries, manufacturing in particular, now use statistical control processes to monitor their processes in order to ensure quality products. Often the front line employee is required to collect the data used for charting the manufacturing process; therefore, employees at all levels should be knowledgeable about and comfortable with using a variety of charts. As more and more quality teams, consisting of a variety of employees, are charged with the task of ensuring quality products, employees will need to have an understanding of probability and sampling.

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.
How can you decompose the composite figure to determine its area?

as a circle, three rectangles, and a triangle
as a circle, a trapezoid, and four triangles
as a semicircle, three rectangles, and a square
as a semicircle, a trapezoid, and two rectangles

Answers

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two rectangles, a trapezoid, and a semicircle make form a composite figure.

The diagram of the composite figure is given below.

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1

Answer:

D

Step-by-step explanation:

Anna ordered 200 party favors. she
received only 1/10 of the party favors
she ordered. how many party favors
did anna receive?

Answers

Answer: 20

Step-by-step explanation: She received 1/10 of the party favors, and 1/10 of 200 is 20.

Anna ordered 200 party favors, she received only 1/10 of the party favors

she ordered, i.e., Anna received 20 party favors.

Here, given that, Anna ordered 200 party favors. she received only 1/10 of the party favors she ordered.

Now, we have to find out how many party favors Anna received,

we need to calculate 1/10 of the total number of party favors she ordered.

Anna ordered 200 party favors, and she received only 1/10 of that amount.

As, we know that, 'of' indicates 'multiplication'

so, we have to find 1/10 of 200, so that, we multiply 200 by 1/10:

1/10 * 200

= 200/10

= 20

i.e. She received 1/10 of the party favors, and 1/10 of 200 is 20.    

So, Anna received 20 party favors.

To learn more on division click:

brainly.com/question/21416852

#SPJ7

describe number patterns: 1, -4, 9, 16

Answers

Answer: least to greatest is -4,1,9,16

greatest to least is 16,9,1,-4

Step-by-step explanation: it's common thinking to me

determine whether descriptive or inferential statistics were used in the statement. 67% of cell phone users check their phone even though it is not ringing or vibrating. (source: pew research center)

Answers

Inferential Statistics

Inferential Statistics is the part of statistical analysis that helps you to determine or predict further steps from the data studied according to Statistical methods. It is helpful in understanding people's perspectives or analyzing data from the samples obtained from it. It can be defined as the analytical tool used to draw conclusions about a population by analyzing random samples.

Descriptive Statistics are used to describe the data and make generalizations about the studies. It is used the define the characteristics of the data obtained.

In the given situation, the statistical analysis is done and it has been inferred from the studies that 67% of people check their cell phone even when it is not ringing or vibrating.

Hence, It is a case of Inferential Statistics.

To know more about Inferential Statistics, Click here :

https://brainly.com/question/28352023

#SPJ4

NEED CORRECT ANSWER RN PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty

Answers

The answer is C, I did the math.

One less than four times a number is 11.

(Could you also help me solve the question too?)

Answers

Answer:

3

Step-by-step explanation:

Let's put that number as x.

It says that one minus 4 times x is 11.

So the equation is 4x - 1 = 11.

Add one on both sides to get 4x = 12.

Divide by four on both sides to get x = 3.

Since x is what we are looking for, the answer is 3!

(Hope this helps!)

The equation for the problem would look like so:

4n - 1 = 11

This can be solved through steps! Given the numbers, we can set up an equation:

4n - 1 + 1 = 11 + 1

4n = 12

4n / 4 = n

12 / 4 = 3

n = 3

explain why when you divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Answers

because the relationship is swapped.

3(4-2(8+5))
Can someone show me what to do first?

Answers

Answer:14

Step-by-step explanation:

14

Answer:

18

Step-by-step explanation:

addition is always before subtraction so you add 8 plus 5 is 13 then 4 minus 2 is 2 so add all together and its 18

The name of the figure below is ___ ___.

[ Brainliest + easy points ]

Answers

Answer:  A line or GH

Step-by-step explanation:

Answer: ray

Step-by-step explanation:

well i want to know how to spell the word 90

Answers

Answer: Ninty

Step-by-step explanation:

Answer: ninety

step by step explanation:

What do I do for the final mark?!?!!?

Answers

, The graphical solution of the simultaneous equation is

x = 3 and y = 3.

What are simultaneous equations?

Simultaneous equations are pairs of equations that contain two unknowns.

How to solve simultaneous equations?

Simultaneous equations are solved by any three (3) of the following methods.

Substiution method, Elimination method and Graphical method

How to solve the given simultaneous equations by graphical methods?

Given the simultaneous equations

x + y = 6 and y = x

We first confirm the solution by using the substitution method.

Substiutitng y = x into the first equation, we have

x + y = 6

x + x = 6

2x = 6

x = 6/2

x = 3

Since y = x. So, y = 3.

So, the solution is x = 3 and y = 3.

So, for a graphical solution, plotting the graph of

y = x and x + y = 6 on the x and y axis, their point of intersection is at the point (3, 3)

So, the graphical solution of the simultaneous equation is

x = 3 and y = 3.

This is seen in the intersection on the graph attached.

Learn more about graphical solution of simultaneous equations here:

https://brainly.com/question/21865945

#SPJ1

Using Company A's calling plan, the cost of an overseas phone call is a $0.95 connection fee plus 18 cents per minute. If the total cost of the call is $2.75, how long is the phone call?

Answers

The total duration of the phone call was 10 minutes.

Given that, by using Company A's calling plan, the cost of an overseas phone call is a $0.95 connection fee plus 18 cents per minute. If the total cost of the call is $2.75 and we have to calculate the time how long was the phone call.

Let the number of minutes a phone call held be x.

Now, we will be representing the above given information in terms of linear equation and then solve for the value of x which will give us the number of minutes the phone call held.

Total cost = $0.95 + $0.18x

$2.75 = $0.95 + $0.18x

2.75 = 0.95 + 0.18x

2.75 - 0.95 = 0.18x

1.8 = 0.18x

1.8/0.18 = x

10 = x

Therefore, the call will go 10 minutes long.

Learn more in depth about linear equation at https://brainly.com/question/25109150

#SPJ1

2. The official Olympic swimming pool measures about 50 m x 25 m x 2.5 m (LWH). If a
box measuring 50cm x 70cm x 25cm (LWH) can hold 315 tennis balls, then what would
be a reasonable estimate for a number of tennis balls that can fit in the swimming pool?

Answers

Answer:

the answer isssssssssssssssssss

A grocery store sells a bag of 8 oranges for $3.12. If Boubacar spent $2.34 on oranges, how many did he buy

Answers

Answer:

Step-by-step explanation:

Answer = 6 oranges

.39 x 6 = $2.34

The number of oranges Boubacar buys is 6 oranges

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of oranges a grocery store sells at $ 3.12 = 8 oranges

The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12

The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12

Now ,

The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar

The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34

So ,

The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34

                                                                           = 8 x 0.75

                                                                           = 6 oranges

Hence , the number of oranges Boubacar buys is 6 oranges


To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was

Answers

Answer:13.33333333

Step-by-step explanation:All you have to do is 5 divided by 1.5 times 4. Your welcome random human being (or alien)

What are the answers and how do you write it out

Answers

Just use a calculator.

First substitute in the numbers and make sure to use ( ) when plugging in negative values. For example, the first one says n=4, you can substitute n from the expression to 4. So n^2 + 3n + 8 will turn into 4^2 + 3(4) + 8 which is 16 + 12 + 8 = 36. You can do this with the other questions.

Number 10 is -213.

Please HELP!
Write an algebraic expression for this word phrase:

Seven less than the product of five and a number.

I know that you have to do (5xn) but how do you do seven less?

Answers

Answer:

5n - 7

Step-by-step explanation:

The product of five and a number is 5n

Seven less than the product of five and a number means 5n - 7

The expression 53(1+x) represents the total cost of a meal including the tip.

Answers

Answer:

53 + 53x

Step-by-step explanation:

Multiply each term in the parentheses by 53 and you get 53 + 53x

I hope that helps!!

First answer gets brainliest!!!!!!!!!!!!!!!!!!!!

Answers

The following relationships between linear equations are shown below:

12 - (1 / 2) · r → [13 - (3 / 2) · r] -  (1 - r) r - 13 / 6 → (7 · r - 3 / 2) - (2 / 3 + 6 · r) 13 · r + 20 → (6 · r + 7) + (13 + 7 · r) - 12 + r → (- 8 - r) + (2 · r - 4)

How to match an expression with its simplified form

In this problem we find four cases of linear equations whose relationship with simplified forms, that is, linear equations of the a · r + b, where a, b are constants, must be found. Each relationship can be determined by using algebra properties. Now we proceed to present the conclusion for each case:

Choice A

(6 · r + 7) + (13 + 7 · r)

(6 · r + 7 · r) + (7 + 13)

(6 + 7) · r + 20

13 · r + 20

Choice B

[13 - (3 / 2) · r] -  (1 - r)

[13 - (3 / 2) · r] + (- 1 + r)

[- (3 / 2) · r + r] + (13 - 1)

[- (3 / 2) + 1] · r + 12

(- 1 / 2) · r + 12

12 - (1 / 2) · r

Choice C

(- 8 - r) + (2 · r - 4)

(- r + 2 · r) + (- 8 - 4)

(- 1 + 2) · r - 12

r - 12

- 12 + r

Choice D

(7 · r - 3 / 2) - (2 / 3 + 6 · r)

(7 · r - 3 / 2) + (- 2 / 3 - 6 · r)

(7 · r - 6 · r) + (- 3 / 2 - 2 / 3)

r + [- (9 + 4)] / 6

r + [- 13] / 6

r - 13 / 6

To learn more on linear equations: https://brainly.com/question/13738061

#SPJ1


Divide. Rationalize all denominators. ∛6 x² y⁴ / 2∛5 x⁷y

Answers

The value of the expression [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] after rationalizing the denominator is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

Now, let [tex]a=\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

[tex]a=\frac{(x^{2}y)(y^{3})}{2\sqrt[3]{5} (x^{2}y)(x^{5})}[/tex]

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by ( ∛5 )².

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} } \times \frac{(\sqrt[3]{5})^{2}}{(\sqrt[3]{5})^{2}}[/tex]

[tex]a=\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex]

The value of the expression when rationalized [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

Learn more about rationalizing here:

https://brainly.com/question/28595203

#SPJ4

Lesson 10: Connecting Equations to Graphs
(Part 1)
Cool Down: Kiran at the Carnival
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25
and a ride costs $1.
1. Write an equation to represent the relationship between the dollar amount Kiran is
spending and the number of games, , and the number of rides, , he could do.

2. Which graph represents the relationship between the quantities in this situation?
Explain how you know.

Answers

The equation to represent the relationship between the dollar amount Kiran is spending and the number of games and the number of rides is 0.25x + y = 12

The graph that represents the relationship between the quantities in this situation is graph C.

How to illustrate the information?

It should be noted that the equation will be:

25x + 100y = 1200 in cents

or 0.25 x + y = 12 in dollars

where

x= games

 y= rides

The graph that will connect the x axis and y axis at the points where x= 48 and y= 12,  Only graph C seems to have a line that may end at x=48. Therefore, the correct option is C.

Learn more about equations on:

https://brainly.com/question/13673526

#SPJ1

Find the distance between C & D.
C = (8, -3) and D = (-9, -6)
Round to the nearest tenth.

Answers

Answer: 17.3

Step-by-step explanation:

13 divided by 10 5/6 in fraction

Answers

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Hope this helps. Please mark me Brainliest!

In eight years, Pete will be twice as old as he
was two years ago. How old is he today?

Answers

Answer:

10

Step-by-step explanation:

8 + 2 = 10

Other Questions
According to thomas paines common sense what was the only only option that would ensure american liberyy and religious freedom? a wrench 30 cm long lies along the positive y-axis and grips a bolt at the origin. a force is applied in the direction k0, 3, 24l at the end of the wrench. find the magnitude of the force needed to supply 100 nm of torque to the bolt. please help make these words plural! (this is my first year taking Spanish) The equilibrium constant is given for one of the reactions below. Determine the value of the missing equilibrium constant. In item 16, how many bacteria will therebe after 5 splittings?(1) 2(2) 4(3) 8(4) 16(5) 32 According to the diagram of the electromagnetic spectrum shown, what would best represent thesize of visible light? A.HumansB.PinpointC.ProtozoaD.Molecules A dart is thrown horizontally at a speed of 12 m/s at the bull's-eye of a dartboard 2.7 m away. How far below the intended target does the dart hit (in m)? 1. f(x)=5x^2-80x+692. f(x)=-9x^2+81x+6 as part of its performance review process, altrera corporation solicits confidential feedback from the employee's managers, peers, and direct reports. this process is known as . Only place a quotation at the end of your sentence.TrueFalse Evaluate 3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power. 1 3.5 7 12.25 Which reason refutes the theory that Asia is the original home of the first Americans?Question 1 options:Physical similarities between some Asians and Native Americans were found.Similarities between stone tools in Asia during ancient times and early American tools were found.Different types of artifacts found in Asia and America and found evidence for the theory were examined.Similarities in the languages spoken were found. Solve pls brainliest Please hekp! the value of FG the drawing is not a scale.EF equals 11 and EFequals 21 what is FG? solve each equation,with work shown-6 = a/13m/11 =19p -1 = -173= 3/5n31/10= r+ 2-6/5 =k-12/5 = 1+ap+ = 5/2 Which letter on the map marks the area settled by English colonists ? what is the long summary of the road not taken poem by Robert Frost If a marble is launched out of a cannon, is it in free fall after it has been launched?Also, how do you know if it is -10 m/s/s or 10 m/s/s for acceleration in free fall? an atom is in its lowest energy state, or state, when its electrons are in the lowest possible energy levels. if an electron moves to a higher energy state the atom is said to be in a(n) state. Help this assignment has to be done by today and what does this even go under?