Question

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

Explanation:

Step1: Analyze line slopes

Both equations are in the form $y=mx+b$, where $m$ is the slope. For $y=x-7$, $m_1=1$; for $y=x+7$, $m_2=1$.

Step2: Compare slopes and intercepts

Since $m_1=m_2$ (equal slopes) and the y-intercepts $b_1=-7$, $b_2=7$ are different, the lines are parallel and never intersect.

Step3: Determine solution set

Parallel, non-coinciding lines have no common $(x,y)$ pairs that satisfy both equations.

Answer:

There is no solution, or the solution set is $\emptyset$ (empty set).