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

##### 1 Answer

May 14, 2018

#### 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"#