Algebra-1

To determine which equation has the solution x = 2.5, we'll substitute x = 2.5 into each equation and see which one results in a true statement.

Option A: 3x + 5 = 2x + 11

3 × 2.5 + 5 = 2 × 2.5 + 11

7.5 + 5 = 5 + 11

12.5 ≠ 16

This equation is not true when x = 2.5.

Option B: -3x − 7 = -5x − 2

-3 × 2.5 − 7 = -5 × 2.5 − 2

-7.5 − 7 = -12.5 – 2

-14.5 = -14.5

This equation is true when x = 2.5.