The Two lines graft on a coordinate grid each represent an equation (-7, -2), (7, -9) and (-7, -8), (5, -2) which ordered pair represents a solution to both equations

Question

A) (-5, -1)
B) (-1, -5)
C) (1, 5)
D) (-1, 5)

Answer 1

To find the solution that satisfies both equations, we need to find a point that lies on both lines.

We already have two points to potentially check:
(-7, -2) and (7, -9)

Let's check if both of these points satisfy the second equation:
(-7, -8), (5, -2)

For (-7, -2):
Substitute x = -7 into the second equation:
-7 - 2 = -8
-9 = -8
This point does not satisfy the second equation.

For (7, -9):
Substitute x = 7 into the second equation:
7 - 9 = -2
-2 = -2
This point satisfies the second equation.

Therefore, the point that is a solution to both equations is (7, -9).

So the correct answer is not one of the answer choices provided.