Algebra-1

To determine which equation has the solution x = 0.5, we'll substitute x = 0.5 into each equation and see which one results in a true statement.

Option A: 2.6x + 1.2 = 3.8x + 0.7

2.6 × 0.5 + 1.2 = 3.8 × 0.5 + 0.7

1.3 + 1.2 = 1.9 + 0.7

2.5 ≠ 2.6

This equation is not true when x = 0.5.

Option B: 1.4x − 0.6 = 2.2x + 0.8

1.4 × 0.5 − 0.6 = 2.2 × 0.5 + 0.8

0.7 − 0.6 = 1.1 + 0.8

0.1 ≠ 1.9

This equation is not true when x = 0.5.