How do you solve #(40/(x-2))=1+(42/(x- 2))#?
1 Answer
Jun 13, 2016
Explanation:
Given,
#40/(x-2)=1+42/(x-2)#
Multiply each term on the left and right sides by
#color(red)((x-2))(40/(x-2))=1color(red)((x-2))+color(red)((x-2))(42/(x-2))#
Simplify.
#(color(red)cancelcolor(black)(x-2))(40/(color(red)cancelcolor(black)(x-2)))=1(x-2)+(color(red)cancelcolor(black)(x-2))(42/(color(red)cancelcolor(black)(x-2)))#
#40=x-2+42#
#40=x+40#
Subtract
#40color(white)(i)color(red)(-40)=x+40color(white)(i)color(red)(-40)#
#x=color(green)(|bar(ul(color(white)(a/a)color(black)0color(white)(a/a)|)))#