Question

Which ordered pair is the solution to the system of linear equations y =-7x+2 and y = 9x-14?

• (-5,1)
• (1,-5)
(5,-1)
(-1,5)

Answer 1

Solution in photo

Answer 2

(1, -5)

Explanation:

Solve the system by setting the equations equal to each other, and solving for x:

-7x + 2 = 9x - 14

2 = 16x - 14

16 = 16x

1 = x

So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

So, the y coordinate is -5.

The ordered pair solution is (1, -5)