Question #82ba7
1 Answer
Apr 14, 2017
Explanation:
Use the method of
#color(blue)"cross- multiplying"#
#"Given " a/b=c/d" then"#
#•color(white)(xx) ad=bc#
#rArr3/(x+1)=5/(x-1)#
#rArr5(x+1)=3(x-1)# distributing gives.
#5x+5=3x-3#
#"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"#
