Question

How many solutions exist for the given equation? 1/2(x + 12) = 4x – 1 zero one two infinitely many

Answer 1

c, two

Explanation:

Answer 2

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

Multiply both sides by 2.

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

Distribute 2 to the right side.

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

Add 2 on both sides .

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

Subtract x on both sides.

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

`14 = 7x <=> 7x = 14`

Divide both sides by 7

x=2.

Hence, there is one solution to this linear equation.