Question

How many solutions exist for the given equation?

1/2(x + 12) = 4x – 1

Answer 1

B.one

Explanation:

there is only one solution to the problem.

Answer 2

`(1)/(2) (x+12)=4x-1`

Multiply both sides by 2 :


`(1)/(2)(x+12)*2 = 4x*2-1*2`


`x+12=8x-2`


`x+12-12=8x-2-12`


`x=8x-14`

Subtract 8 x from both sides:


`x-8x=8x-14-8x`


`-7x=-14`

Divide both sides by -7 :


`(-7x)/(-7) = (-14)/(7)`


`x = (14)/(7)`


`x = 2`

1 solution

hope this helps!