Answer: D. x + y = 6 and x - y = -10
Step-by-step explanation:
The two lines intersect at (-2, 8).
In order to see what equations satisfy the graphs, you plug in the x and y values in both of the equations in each answer choice.
Answer Choice A: x + 2y = 6 and x - y = 10
(-2) + 2(8) = 6 → 14 = 6
(-2) - (8) = 10 → -10 = 10
This answer choice does not satisfy the solution given in the graph.
Answer Choice B: x + y = 6 and x - 2y = 10
(-2) + (8) = 6 → 6 = 6
(-2) -2(8) = 10 → -18 = 10
This answer choice does not satisfy the solution given in the graph.
Answer Choice C: x + 2y = 10 and x - y = 6
(-2) + 2(8) = 10 → 14 = 10
(-2) - (8) = 6 → -10 = 6
This answer choice does not satisfy the solution given in the graph.
Answer Choice D: x + y = 6 and x - y = -10
(-2) + (8) = 6 → 6 = 6
(-2) - (8) = -10 → -10 = -10
This answer choice satisfies the solution given in the graph.
