Question #82ba7
1 Answer
Apr 14, 2017
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=5x−1
rArr5(x+1)=3(x-1)⇒5(x+1)=3(x−1) distributing gives.
5x+5=3x-35x+5=3x−3
"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"