Question

which linear equation has the same solution set as 5a + 6 - 3a = -4 (1 + 2a)

5x/2 + 7 = 14.5
5y - 3 (9 - 2y) = y + 5
40 - 12x = 32
3x/2 - 12 = -13.5

Answer 1

First solve the given equation:
5a + 6 - 3a = -4(1 + 2a)
2a + 6 = -4 - 8a
10a = -10
a = -1

Now check which choice has solution -1. Solve 3x/2 - 12 = -13.5:
3x/2 = -13.5 + 12 = -1.5
3x = -3
x = -1

So the equation with the same solution set is: 3x/2 - 12 = -13.5.