Question

Which equation has no solution?

A 20 – 6x = 4(1 – x) – 4
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B 6x - 2x = 4(1 – 2) - 4
2x - 6x = 4(1 – x) + 4
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D 6x - 2x = 4(1 – 2) +4

Answer 1

C

Explanation:

`A. 20 - 6x = 4(1-x) -4 \\=>20 - 6x = 4-4x -4\\=>20-6x=-4x\\=> 20=2x\\=> x=10`

`B. 6x-2x = 4(1-2)+4\\=> 4x = 4(-1) +4\\=> 4x =0\\=>x=0`

`C.2x-6x=4(1-x)+4\\=> -4x = 4 - 4x +4\\=>-4x + 4x = 8\\=> no solution`

`D.6x-2x =4(1-2) +4\\=> 4x = 4(-1) +4\\=> 4x = 0\\=> x=0`