Question

Enter the value of b when the expression 1/2x + b is equivalent to 1/4(2x+3)

Answer 1

b = 3/4

Explanation:

`(1)/(2)x + b=(1)/(4) (2x+3)`

Distribute.

`(1)/(2)x + b=(1)/(2) x+(3)/(4)`

Subtract 1/2x from both sides to isolate the b.

`b=(1)/(2) x+(3)/(4)-(1)/(2)x`

1/2x and -1/2x cancel each other out.

`b=(3)/(4)`

So b = 3/4