Question

Which of these equations has infinitely many solutions?

A) 1/8(8y − 1) = 2y − 1/4
B) 8x + 24 = −4(2x − 6)
C) −3(6x + 4) + 30x = 12(x − 1)
D) 0.5(4y + 16) = 2y − 8

Answer 1

C: -3(6x + 4 ) + 30x = 12(x-1)

Explanation:

A - 1/8(8y -1) = 2y - 1/4

(8y -1 ) = 16y - 2

0 = 8y + 1

not infinite, it has one solution

B - 8x + 24 = -4(2x -6): divive by 4

2x + 6 = -2x + 6:combine like terms

4x = 0; not inifite has solution

C - -3(6x + 4) + 30x = 12(x - 1): divide by 3

-6x - 4 + 10x = 4x - 4: combine like terms

4x - 4 = 4x - 4: same equation equalling same equation means it is infinite