Mathematics: Which equation has a solution of -2? a 7x - 4 = 6x + 5 b 4x + 3 = 8x - 5 c 6x + 4 = 3x + 10 d -5x - 3 = -7(x +1)

Which equation has a solution of -2? a 7x - 4 = 6x

judyd452

03.01.2022

Solution:

I'm not sure if there is law for it or not, but you can replace each x to -2 if both sides are equal then the equation is true.

$7x - 4 = 6x + 5\\7(-2) - 4 = 6(-2) + 5\\-14-4=-12+5\\-18\neq -7$

A. is incorrect.

$4x + 3 = 8x - 5\\4(-2) + 3 = 8(-2) - 5\\-8+3=-16-5\\-5\neq -21$

B. is incorrect.

$6x + 4 = 3x + 10\\6(-2) + 4 = 3(-2) + 10\\-12+4=-6+10\\-8\neq 4$

C. is incorrect.

$-5x - 3 = -7(x +1)\\-5(-2) - 3 = -7((-2) +1)\\10-3 =-7(-1)\\7=7$

D. is correct.

D. -5x-3=-7(x+1)

Hope this was helpful.

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