Solve the system by substitution.
-2y - 10 = x
- 10x - y = -14

Answers

Answer 1

Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

Solve−2y−10=x for x

−2y−10=x

−2y−10+−x=x+−x

−x−2y−10=0

−x−2y−10+2y=0+2y

−x−10=2y

−x−10+10=2y+10

−x=2y+10

-x/-1=2y+10/-1

x=−2y−10

Substitute−2y−10 for x in−10x−y=−14

−10x−y=−14

−10(−2y−10)−y=−14

19y+100=−14

19y+100+−100=−14+−100

19y=−114

19y/19=-114/19

y=-6

Substitute−6 for y in x=−2y−10

x=−2y−10

x=(−2)(−6)−10

x= 2

x=2 and y=−6


Related Questions

What is the equation of the line that passes through the point (3, 5) and has a slope
of 2?

Answers

y=2x+b
substitute in the equation with the point to get the y intercept
5=2(3)+b
5=6+b
b= -1
so the equation is :
y=2x-1

hope this helps !

Someone explain to me how to write an equation out in slope-intercept form in simple terms with examples I'm so confused

Answers

Answer:

are you talking about y=mx+b? M would be the slope, and B would be the y intercept, so if we wanted to do, lets say 4,5, we would say y=4x+5, i think,

Step-by-step explanation:

An equation in slope-intercept form looks like this: y = mx+b

In the equation, m is equal to the growth rate of the line on the graph and b represents the y-intercept (where the line meets with the y-axis).

For the line shown in the picture below, the equation is y = 1x + 2 (not exactly but based on estimates). Also, you can ignore the writing on the picture. (0-0')

y = 1x + 2

In this equation. 1 represents the growth rate and 2 represents the y-intercept.

So, when writing an equation, look for these two things:

y-intercept: where the line of a graph meets with the y-axis

growth rate: how much is the line increasing by on the y-axis for every unit on the x-axis?

:3))

Find slope intercept form.
(5,7) (25,12)

Answers

Answer:

Y = 1/4x + 23/4

Step-by-step explanation:

For the figure below, find the measure of angle 1.

Answers

Angle 1 is 119° using linear pairs and an.gle sum property of triangle:

plz help if u can! i’ll mark brainlist! plz solve b. plz! ur worth every breath! <3

Answers

Answer:

Step-by-step explanation:

3 times the number of yards is feet

let x represent the number of yards

Homework Help ASAP

Find the difference. Write your answer in the simplest form
3/4 - 3/8

Find the sum. Write your answer in the simplest form
2/7 + 2/5

Answers

Answer:

#1. 3/8 and #2. 27/35

Step-by-step explanation:

3/4 - 3/8 change to 6/8 - 3/8 = 3/8 can not reduce

2/7 + 2/5 change to 10/35 + 17/35 = 27/35 can not reduce

Answer:

3/8

Step-by-step explanation:

3/4 - 3/8

= 3*2/4*2 - 3/8

= 6/8 - 3/8

= 6-3/8

= 3/8

Answer:

24/35

Step-by-step explanation:

2/7 + 2/5

= 2*5/7*5 + 2*7/5*7

= 10/35 + 14/35

= 10+14/35

=24/35

5. Which expressions are equivalent?
I. 6(a + 2)
II. 6a + 12
III. 3(2a + 4)
A I and II only
II and III only
Bland Ill only
0 I, II, and III

Answers

II and III only are equal to each other
ANSWER: II and III only

Use the Distributive Property to write an expression that is
equivalent to 4(y - 3).

Answers

Answer:

4y-12

Step-by-step explanation:

To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted).

If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks simply of distributivity.

The equivalent value of the expression is A = 4y - 12

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4 ( y - 3)

On simplifying the equation , we get

A = 4 ( y - 3 )

So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )

Opening the parenthesis on both sides , we get

A = 4 ( y - 3 )

Using the distributive property , we get

A = 4 ( y ) - 4 ( 3 )

On further simplification , we get

A = 4y - 12

Taking the common factor as 4 , we get

A = 4 ( y - 3 ) = 4y - 12

Therefore , the value of A = 4y - 12

Hence , the expression is A = 4y - 12

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

2/3x+(-3)+(-2)-1/3x?

Answers

Answer:

1/3x-5

Step-by-step explanation:

simplify by combining like terms

2/3x - 1/3x = 1/3x

-3 + -2 = -5

Answer:

1/3x - 5

Step-by-step explanation:

2/3x + (-3) + (-2) - 1/3x

2/3x - 1/3x + (-3) + (-2)

2/3x - 1/3x - 3 - 2

1/3x - 5

Which of the following is the inverse relation of the set?
{(5, –2), (3, –3), (4, 6), (–1, –7)}
{( –2, 5), (–3, 3), (6, 4), (–7, –1)}

B)

{( –4, 10), (–6, 6), (12, 8), (–14, –2)}

C)

{( –3, 5), (–2, 3), (–1, 4), (–7, 6)}

D)

{(2, –5), (3, –3), (–6, –4), (7, 1)}

Answers

9514 1404 393

Answer:

  A)  {( –2, 5), (–3, 3), (6, 4), (–7, –1)}

Step-by-step explanation:

The ordered pairs of an inverse relation are the reverse of the ordered pairs of the original relation.

You will be looking for ordered pairs that have first values the same as the original relation's second values: {-2, -3, 6, -7}. That list is found in choice A.

Find the missing length indicated. 5 3 ? 6​

Answers

Answer:

? - 10

Step-by-step explanation:

3 x 2 is 6, so multiply 5 by 2 as well to get 10.

I hope it's correct!

Ms. Pickle is a salesperson at Fluffy Dogs. Each week she earns $560 plus a 6.5% of her sales. How much did she earn last week if her sales were $3800?

Answers

Answer:

I think 247 is your answer!

Step-by-step explanation:

$560 plus a 6.5% of her sales = 596.4 US$

3800 plus a 6.5% of her sales last week = 4047

6.5% of 3800 is 247

find the area of a circle if its radius is 6 millimeters?

Answers

The answer is 36pi
Hope this helps :)

What is the location of point B?



(5, 3)
(3, 5)
(3, -5)
(-5, -3)

Answers

Answer: The location of point B is (5,3)
Answer the location. Of b is 5,3

please helpppp !!!!!

Answers

the answer is the one in red

Answer:

The first one

Step-by-step explanation:

Negative b plus and minus the square root of b squared minus 4ac divided by 2a

The line L is a tangent to the circle x2 + y2 = 45 at the point (-3, 6).
The line L crosses the x-axis at the point P.
Work out the coordinates of P.

Answers

Answer:

The point P is (-15,0).

Step-by-step explanation:

We need to find the slope of the line L to get the coordinates of P.

We know that L is tangent to the circle at point (-3, 6), which means L is perpendicular to the radius of the circle (a line between the origin (0,0) and the tangent point (-3,6))

So let's find the slope or the radius.

[tex]m_{R}=\frac{6-0}{-3-0}[/tex]    

[tex]m_{R}=-2[/tex]

Now, we know that if two lines are perpendiculars their slopes follow the rule:

[tex]m_{L}=-\frac{1}{m_{R}}[/tex]  

[tex]m_{L}=\frac{1}{2}[/tex]  

Knowing the slope of L we can find the equation of this line. The slope-intercept equation of a line is:

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{2}x+b[/tex]

Using the point (-3,6) we can find b.

[tex]6=\frac{1}{2}(-3)+b[/tex]

[tex]b=\frac{15}{2}[/tex]

The line equation will be:

[tex]y=\frac{1}{2}x+\frac{15}{2}[/tex]

The point P has only an x-coordinate value (x,0)

So we have:

[tex]0=\frac{1}{2}x+\frac{15}{2}[/tex]

[tex]x=-15[/tex]

Therefore, the point P is (-15,0).

I hope it helps you!

is 36.81 more than 36 or it is close to 37 than 36?

Answers

Answer:

36.81 is more than 36 and it is closer to 37

Step-by-step explanation:

.81 is bigger than .5

The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*. A single lap should be completed each time you hear this sound *ding*. Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, start.

Answers

Answer:

i-

Step-by-step explanation:

Hmm yes you are correct

all rational numbers are integers trure or false​

Answers

Answer:

False

Step-by-step explanation:

False
All rational numbers are no integers

82,000,000,000,000,000,000,000 in scientific notation

Answers

Answer and Explanation

[tex]8.2\cdot10^{22}[/tex]

__________________________________________________________

According to CalculatorSoup, 82,000,000,000,000,000,000,000 is [tex]8.2\cdot10^{22}[/tex] in scientific notation.

__________________________________________________________

According to MiniWebTool, Scientific notation (also called standard form or exponential notation) is a way of writing numbers that accommodate values too large or small to be conveniently written in standard decimal notation.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

hi

Step-by-step explanation:

SCIENCE TIME!

82,000,000,000,000,000,000,000

=8.2 × 1022

=8.2e22

= 82 × 1021

=82000000000000000000000

What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI​

Answers

Step-by-step explanation:

[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]

Answer:

540.08

Step-by-step explanation:

HELP WHAT IS THE ANSWER TO THIS??

Answers

Answer:

I think it is A

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

1 Which list shows the dependent quantities in the graph?

Answers

What are the options??

Answer:

lol nnnnnnnnnnnnnnmmoooooooooo╭∩╮(ಠ_ಠ)╭∩╮

Step-by-step explanation:

whats the anwser for - 4x +35> 2

Answers

Answer:

x<33/4

Step-by-step explanation:

-4x+35>2

-4x>2-35

-4x>-33

4x>33

x>33/4

x<33/4

Kyle purchased some video games for $60. The clerk told him that he will also be charged 8% sales tax on his purchase?

Answers

Answer: 64.80

Step-by-step explanation:

Questionnnnnnnnnnnn :

Answers

Answer:

where!!

where's the question!!

Mediterranean dip telefono Cricket in the area between the change of the jacuzzi on the kicker telefono question so have the education​

Answers

I lost 2 brain cells trying to understand this

6 ponds of candy cost $22.44 what is the cost of one pound?

Answers

$3.74 because you have to divide

Please help!!! I don’t really understand this at all

Answers

- line CD is perpendicular to segment AB
- point M is the midpoint of segment AB

9514 1404 393

Answer:

  a, b, e (only)

Step-by-step explanation:

The circle centered at A is all of the points that are distance AB from A.

The circle centered at B is all of the points that are distance AB from B.

The points C and D are points that are distance AB from both A and B.

The line joining those points (C and D) consists entirely of points that are equal distances from A and from B. CD is the perpendicular bisector of AB.

Point M is one of the points on line CD, and is also on segment AB. Because it is on CD, we know it is the same distance from A as from B. That means AM = BM, and M is the midpoint of AB.

__

Points B, C, D are not on the same line, so can form a triangle. As with any triangle, the sum of any two segments is greater than the length of the third. Here, this is expressed as CB + BD > CD.

__

With some work using the Pythagorean theorem, you can show that ...

  CM = AM×√3

Similarly, MD = BM×√3.

Adding these two relations tells us ...

  CM +MD = √3(AM +BM)

  CD = AB×√3 . . . . . AB and CD are not the same length

__

AM and BM are on the same line, so cannot be perpendicular to each other.

_____

Additional comment

When you are studying compass and straightedge constructions, you would do well to actually perform these constructions using those tools on paper. This gives you a feel for what is going on and helps you remember the steps. A computer screen is no substitute for hands-on.

A woman can do a job in 9 days and her daughter can do the same job in 16 days. They start working together, but after 4 days the daughter leaves and the woman finishes the job alone. How many days did it take her to finish the job alone?

Answers

Step-by-step explanation:

ans...9days.......,........

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