How do you simplify #\frac { 1} { r - 1} + 4= \frac { 2} { r - 1}#?

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Answer 1 · 2016-11-26T12:49:30

#r=5/4#

#\frac { 1} { r - 1} + 4= \frac { 2} { r - 1}#

The first thing we need to do is to collect like terms

# 4= \frac { 2} { r - 1}-1/(r-1)=1/(r-1#

#1/(r-1)=4#

Next, we have to remove the denominator from the fraction by multiplying both sides of the equation by it.

#4(r-1)=1#

#r-1=1/4#

#r=1+1/4=5/4#