How to solve 2-step equations

Answers

Answer 1

Answer/Step-by-step explanation:

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.


Related Questions

Write the first step you would take to solve each equation.
2. -4x - 6= -10x

Answers

Answer:

x=1 (Ans)

Step-by-step explanation:

2..-4x-6=-10x

-4x+10x=6

6x=6

x=6 divided by 6

Therefore, x=1(Ans)

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?

Answers

Answer:

5x+3y=8.50 and 3x+2y=5.25

Step-by-step explanation:

because i got it correct

Answer:

b and c

Step-by-step explanation:

Larry shaded this area model to show an expression.

A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.

Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)

Answers

Answer:

The answers are B,D,E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

can anyone help me with this question?

Answers

Answer:

The answer is D, or 5/7

Answer:

The slope is 5/7

Step-by-step explanation:

From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.

Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12

Answers

Answer:

x is equal to -9 thus it becomes -18 in the whole setup

El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.

Answers

Answer:

El precio del saco del azúcar es de 72.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:

(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:

Aquí se menciona una igualdad entre expresiones racionales, es decir:

[tex]\frac{x}{2} = \frac{y}{3}[/tex]

[tex]3\cdot x -2\cdot y = 0[/tex] (1)

(ii) El producto de ambos precios es numéricamente 3456:

[tex]x\cdot y = 3456[/tex] (2)

Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):

[tex]x = \frac{2}{3}\cdot y[/tex]

Y la aplicamos en (2):

[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]

[tex]y^{2} = 5184[/tex]

[tex]y = 72[/tex]

El precio del saco del azúcar es de 72.

How many tickets were sold in 8 hours?
Hours Tickets
(h)
Sold (1)
3.
240
5
400
9
720

Answers

Answer:

560

Step-by-step explanation:

1=160

2=320

3=480

4=640

5=800

6=960

7=1120

8=1280

9=1440

JUST ADD 160 EACH TIME

hope this is what your looking for   :)

I attached a file pls answer quick i gotta sleep

Answers

Answer:

P(2, 3.5)

Step-by-step explanation:

If P partitions AB in the ratio 1:1, then P is the midpoint of AB

Using midpoint formula to find its coordinates

A = (1, 2), B = (3, 5) as per graph

Finding P:

P = ((1+3)/2, (2+5)/2) = (2, 3.5)

In order to add or subtract matrices, what requirement must the matrices have?​

Answers

Answer:

The must have the same dimension

Step-by-step explanation:

Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.

When we add 2 matrices the matrices should be of the same size and same dimension

A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".

In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B

A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex]  B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]

A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]

To learn more about Matrices

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Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both
brothers and pays $6.25 to ship each game, how much can he spend on each game without spending
more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game.
The inequality is .
Zachary can spend no more than $
on each video game.

Answers

Answer:  The required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:  Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.

We are to write and solve an inequality find the amount spent on each game without spending more than $100.

Let $x be the amount that is spent on each of the two video games.

Then, according to the given information, the inequality can be written and solved as follows :

Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.

x^2 − 15 = 1 please help

Answers

Answer:

x^2-15=1

x^2=16

4 x 4 = 16

THerefore...

x=4

Depending on how many choices there are -4 is also correct.

Any number squared is a positive.

x=4, x=-4

Step-by-step explanation:

Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?

Answers

Answer = 13$
Explanation = This would mean each taco would be roughly 1.3$ since 4/3=1.333, so 1.3x10=13$

3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2

Answers

A. 7x

B. 8x-1

C. 6x+12

D. 3x +4

E. 13x-7

The like terms combined and equivalent expressions are given below.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given are the following expressions -

a. 4x + 3x

b. 3x + 5x – 1

c. 5 + 2x + 7 + 4x

d. 4 - 2x + 5x

e. 10x – 5 + 3x – 2

We have -

[A] -

4x + 3x

4x + 3x = 7x

[B] -

3x + 5x – 1

3x + 5x – 1 = 8x - 1

[C] -

5 + 2x + 7 + 4x

5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)

[D] -

4 - 2x + 5x

4 - 2x + 5x = 3x + 4

[E] -

10x – 5 + 3x – 2

10x – 5 + 3x – 2 = 13x - 7

Therefore, the like terms combined and equivalent expressions are given above.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Use intercepts to graph the line described by the equation 2x − 2y = 8.

Answers

So what you wanna do is graph a point at (0, -4) because the y intercept is -5 after you turn this into y intercept form.

Then what you have to do is graph the slope -1 so from the pint you just graph go down one and left one and keep on doing that until you reach the x axis.

The point which is on the x axis is the x intercept


Pls mark brainleist

Answer:

y = x + 4  

Step-by-step explanation:

Slope intercept :  2x - 2y = 8  =  2x     2x  = 8 + 2y   =  2x = 8 +2y   = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2  = 2x / 2 - 8/2  = 2y/2 = y = x-4    

A price is decreased by 5% and is now £779.
Work out the original price.

Answers

Answer:

820

Step-by-step explanation:

779/x = 95/100

779×100

77,900 ÷ 95

820

The function y=2x+6 is shifted down 8 units. What is the equation of the new function?

Answers

Answer:

y = 2x -2

Step-by-step explanation:

When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.

Multiply 986 and 19 together. Round to the nearest hundredth when necessary.

Answers

Answer:

18734

Step-by-step explanation:

mark brainliest please:)

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.

Answers

Answer:

66 %

Step-by-step explanation:

it is 66% because 203 is less than half of 605 .So, you would add together .

203+203=406   Thats not even close to 605 so now you add almost half so that would be about 66%

IT'S D

HOPE THIS HELPED MARK ME BRAINLIST PLS

Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.

Answers

Answer: this is the answer please follow to the explanation

Step-by-step explanation:

21x + 14y = 168. X=2y

14y = -21x +168. 2y=x

14 divided by 14 on one side and

-21 + 168 divided by 14 on the other side

You should get...

Y= -3/2x +12

For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).

Well, have a good day

Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit

Answers

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

Help me ASAP Please!!!!

Answers

that's a lot of damage  

that’s a lot of damage

Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree

Answers

Answer:

Step-by-step explanation: 5

The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Cosine theorem:

Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)

-0.5 = (17.64 + 32.49 - BC²) / 47.88

-23.94 = 50.13 - BC²

BC² = 50.13 + 23.94

BC = √(74.07)

BC = 8.6

Sine theorem:

BC / Sin ∠A = AC / Sin ∠B

8.6 / Sin ∠A = 4.2 / Sin ∠B

8.6 / 120 = 4.2 / Sin ∠B

Sin ∠B = (4.2 x 120) / 8.6

Sin ∠B = 58.60

∠B = 25.1°

Thus,

The angle is 25.1°.

Learn more about trigonometric identities here:

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Plz I need help!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct answer is 2437.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If the difference when −15 is subtracted from a number is twice the difference when 24 is subtracted from the same number, what is the value of the number?

Answers

Answer:

The number is 39

Step-by-step explanation:

Let the unknown number be x:

[tex](x-(-15))=2(x-24)\\x+15=2x-24\\39=x\\\therefore x=39[/tex]

find the missing angle

Answers

129 degrees is the correct answer for the missing angle number 1 :)

Solving the system using equations ( 15 points)
3x+2y=17
2x+5y=8

Answers

Answer:

{x,y}={  11 /69   ,−  11 /10  }

Step-by-step explanation:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:






Which statement best describes the relationship between the positions of the two players?

Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

The answer is B.

Step-by-step explanation:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.

What is the definition of a number trick? (Math)

Answers

Answer:

How does the number trick work?

Trick 1: Think of a number

Pick a whole number between 1 and 10.

Add 2.

Multiply by 2.

Subtract 2.

Divide by 2.

Subtract your original number.

Everyone's final answer will be 1.

Step-by-step explanation:

The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.

LEMMEBE HONEST

I HAVE NO IDEAAAA

“Think-of-a-number” tricks

These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.

Hope this helps!

Sending U good luck!

help me, please it would get 15 points

Answers

Answer:

Here are 5 (2,4), (3,6), (1,2), (4,8), (5,10)

Step-by-step explanation:

Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?

Answers

Answer:

$24

Step-by-step explanation:

Step one:

given data

we are told that she earned $3 every 20minute for gutter cleanup

and for mow, she earns $3.6 every 20 minutes.

Step two;

1. For a 40 minutes gutter cleanup she will make

=3*40/20

=3*2

=$6

1. For a 2 hours mow she will make

2 hours is 120 minutes

=3.6*120/20

=3*6

=$18

So in total she earned 6+18= $24

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Ill mark you brainliest. solve the question, thank you Some individuals can develop kidney failure after consuming fava beans. What is the biochemical rationale for this observation?A. A deficiency of glucose-6-phosphatase that resulted in failure to synthesize essential red cell membrane proteins.B. A deficiency of glucose-6-phosphate dehydrogenase that resulted in failure to maintain glutathione in a state that prevents destructive lysis of the red blood cell.C. A deficiency of transketolase that resulted in the failure to provide ribose for the DNA and RNA needed to repair red cells.D. A deficiency of transaldolase that resulted in the failure to maintain glycolysis in the red cells. E. A deficiency of sedoheptulose that resulted in the failure to maintain the integrity of the red cells. What sound device(s) does Dickinson employ in the phrase, "too cool for corn" as well as the line, "But when a boy and barefoot"? Choose all that apply. A. onomatopoeia B. alliteration C. assonance D. slant rhyme What is 2.53 Times 57.62 Which reason best explains why serfs worked on the land for vassals? A. to have a place to live B. to serve the needs of the church C. in hopes of owning their own farms D. for wages in return for raising crops Thomas wanted to think he was brave enough, but that currently sounded like she worst idea in history. what is the figurative language type Read the passage about the life of Clara Barton.Clara Barton was born on December 25, 1821, in Oxford, Massachusetts. As a child, Clara was very shy. She first found her calling while caring for her brother after he fell from a rafter in their barn. Despite the fact that most teachers were still men at the time, Clara became a teacher at the age of 15, as well as one of the first women to work for the federal government at the US Patent Office. In 1881, Clara opened the first chapter of the American Red Cross in the United States and served as its first president. The American Red Cross is a relief organization that offers assistance to victims of such disasters as the 1889 Johnstown Flood and the 1900 Galveston Flood. She served as president for 23 years before resigning amidst claims that money was being mishandled internally.The Civil War was a bloody war fought between the years 18611865. During the war, Clara sought to help the soldiers in any way she could. She collected needed supplies and distributed them to the Union Army. These supplies included items such as food, bedding, and clothing. However, Clara was not content to sit on the sidelines; she often risked her own life to care for soldiers wounded in battle. For these deeds, she was nicknamed the "Angel of the Battlefield. When the war ended in 1865, Clara worked for the War Department helping in various ways.Which sentence from the passage contains information that could best be used to create a yearbook page about Clara Barton?A: The American Red Cross is a relief organization that offers assistance to victims of such disasters as the 1889 Johnstown Flood and the 1900 Galveston Flood.B: She served as president for 23 years before resigning amidst claims that money was being mishandled internally.C: The Civil War was a bloody war fought between the years 18611865.D: However, Clara was not content to sit on the sidelines; she often risked her own life to care for soldiers wounded in battle. helppp ill give brainliest What is the equation of the line with a slope of 2 through (4, 6) in point-slope form? Compare and contrast the economies of the Aztec and Incaempires. And I is throwing money at birthday party. She has $100 to spend. She buys a cake for $30, a giant balloon for $20, and 10 cups that each cost the same price. Create and solve any equation to determine the cost of each cup. Who is your favorite character from "the outsiders" and why? the events of the crusaders were recorded by? 41. A statue weighs 1,000N and exerts a pressure of 20,000 Pa. How big isthe base of the statue in square meters?please help