Question

(30 POINTS) Select the correct answer.

Which equation has no solution?

A. 1/2(8x + 6) -2x = -3(2x + 1)
B. -4(1/2x + 2) = -2x - 8 + 4x
C. 7(x + 2) - 3x = 2/3 (6x + 3)
D. -2x + 5 - 3x + 12 = -5(x - 3) + 2

Answer 1

Im pretty sure the correct answer is a

Answer 2

C. 7(x + 2) - 3x = 2/3 (6x + 3)

Explanation:

ANSWER FROM PLATO

When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.

Consider the following equation:

7(x + 2) - 3x = 2/3 (6x + 3)

7x + 14 - 3x = 4x + 2

4x + 14 = 4x + 2

14 = 2

Therefore, the equation has no solution.