Question

d. y=x-7
y=x+7

Explanation:

Step1: Set equations equal

Since $y = x-7$ and $y = x+7$, set them equal:
$x-7 = x+7$

Step2: Simplify to check consistency

Subtract $x$ from both sides:
$x - x -7 = x - x +7$
$-7 = 7$
This is a false statement, meaning there is no solution. The lines are parallel (same slope $m=1$, different y-intercepts) and never intersect.

Answer:

No solution (the system is inconsistent, as the two lines are parallel and never cross)