Question #82ba7

1 Answer
Apr 14, 2017

x=-4x=4

Explanation:

Use the method of color(blue)"cross- multiplying"cross- multiplying

"Given " a/b=c/d" then"Given ab=cd then

•color(white)(xx) ad=bc×ad=bc

rArr3/(x+1)=5/(x-1)3x+1=5x1

rArr5(x+1)=3(x-1)5(x+1)=3(x1)

distributing gives.

5x+5=3x-35x+5=3x3

"subtract 3x from both sides"subtract 3x from both sides

5x-3x+5=cancel(3x)cancel(-3x)-3

rArr2x+5=-3

"subtract 5 from both sides."

2xcancel(+5)cancel(-5)=-3-5

rArr2x=-8

"divide both sides by 2"

(cancel(2) x)/cancel(2)=(-8)/2

rArrx=-4

color(blue)"As a check"

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

"left side " =3/(-4+1)=3/(-3)=-1

"right side " =5/(-4-1)=5/(-5)=-1

rArrx=-4" is the solution"