Question

One equation in a system is y = −3x + 7. Which equation gives the
system no solution? Lesson 5-1
𝖠y = −3x + 7 𝖢y = −3x + 5
𝖡y = 3x + 5 𝖣y = __
1
3x − 7

Answer 1

y = -3x + 5

Reason: Two lines have no solution when they are parallel — same slope but different y-intercepts. The given line has slope −3; y = −3x + 5 has the same slope and a different intercept (5 vs 7), so they are parallel and never intersect.