Question

How do you evaluate `\frac { 1 } { 2} ( 5- 2h ) = \frac { h } { 2}`?

Answer 1

h=5/3

Explanation:

`1/2(5-2h)=h/2`

Multiply by 2 both sides of the equation:
`1/cancel((2))*cancel(2)(5-2h)=h/cancel2*cancel2`
`rarr 5-2h=h`

Adding 2h on both sides to isolate the terms with h on the left side of the equation:
`5cancel(-2h)+cancel(2h)=h+2h`
`5=3h`

Dividing both sides by 3 to isolate h:
`5/3=(cancel(3)h)/cancel3`
`rarr h=5/3`