How do you subtract #\frac { 6x } { y - 7x } - \frac { 2x } { 7x - y }#?

1 Answer
smendyka
Feb 5, 2017

See the entire solution process below:

Explanation:

First, we need to get each fraction over common denominators. In this problem we can do this by multiplying the fraction on the left by the appropriate form of #1 = (-1)/(-1)#

#((-1)/(-1) xx (6x)/(y - 7x)) - (2x)/(7x - y)#

#(-6x)/(-y + 7x) - (2x)/(7x - y)#

#(-6x)/(7x - y) - (2x)/(7x - y)#

We can now subtract the numerator over the common denominator:

#(-6x - 2x)/(7x - y)#

#(-8x)/(7x - y)#

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