How do you solve #\frac { 7} { 5} n - n = \frac { 4} { 5}?#

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Answer 1 · 2017-10-09T00:47:14

#n=2#

First, simplifying the LHS by combining the like terms:

#\frac{7}{5}n-n=\frac{2}{5}n#

We can rewrite the equation as:

#\frac{2}{5}n=\frac{4}{5}#

To isolate for #n#, we have to multiply by its coefficient's reciprocal:

#(\frac{5}{2})\cdot\frac{2}{5}n=\frac{4}{5}\cdot\frac{5}{2}#

Which leaves us with:

#n=\frac{20}{10}#

Which simplifies to:

#n=2#