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:

$n=2$

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