Question

How do you solve `4/6=8/(x-1)`?

Answer 1

`x=13`

Explanation:

`"one way is to use "color(blue)"cross-multiplication"`

`•color(white)(x)a/b=c/drArrad=bc`

`rArr4(x-1)=6xx8=48`

`rArr4x-4=48`

`"add 4 to both sides"`

`4x=48+4=52`

`"divide both sides by 4"`

`(cancel(4) x)/cancel(4)=52/4`

`rArrx=13`

`color(blue)"As a check"`

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

`"right "=8/(13-1)=8/12=2/3`

`"left "=4/6=2/3`

`rArrx=13" is the solution"`