Question

Which graph best represents the solution to the following pair of equations?

y = 2x − 17

y = −2x + 3

Answer 1

Hello!

First you can solve the system of equations

y = 2x - 17
y = -2x + 3

Since y equals both of the expressions the expressions equal each other

2x - 17 = -2x + 3

Now you solve it algebraically

Add 2x to both sides

4x - 17 = 3

Add 17 to both sides

4x = 20

Divide both sides by 4

x = 5

Now you x into one of the original equations to get y

y = 2(5) - 17

Multiply

y = 10 - 17

Subtract

y = -7

Now you are looking for lines where they intersect at point (5, -7)

The answer is the second graph

Hope this helps!