Question

Given the equation y=1/2x-2 , determine the value for x when y = 8

Answer 1

`x=20`

Explanation:

we have

`y=(1)/(2)x-2`

This is a linear equation (equation of a line)

To determine the value of x when the value of y=8, substitute the value of y in the equation and solve for x

so

For y=8

substitute

`8=(1)/(2)x-2`

isolate the variable x

Adds 2 both sides

`8+2=(1)/(2)x-2+2`

`10=(1)/(2)x`

Multiply by 2 both sides

`10*2=(2)(1)/(2)x`

Rewrite

`x=20`