How do you solve \frac { 15} { x } - 4= \frac { 6} { x } + 3?

1 Answer
Alan P.
Nov 14, 2016

color(green)(x=1 2/7)

Explanation:

Given
color(white)("XXX")15/x-4=6/x+3

Multiply everything on both sides by x
color(white)("XXX")15-4x=6+3x

Add 4x to both sides
color(white)("XXX")15=6+7x

Subtract 6 from both sides
color(white)("XXX")9=7x

Divide both sides by 7
color(white)("XXX")9/7=x rarr r=9/1=1 2/7

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