What is the answer to (80-n)/n = 7/9 ?

The answer to (80-n)/n = 7/9 is n=45

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(80-n)/n = 7/9

\frac{80 - n}{n} = \frac{7}{9}

n = 45

Solution steps

\frac{80 - n}{n} = \frac{7}{9}

Cross multiply

720 - 9 n = n \cdot 7

Move

720

to the right side

- 9 n = n \cdot 7 - 720

Move

n 7

to the left side

- 16 n = - 720

Divide both sides by

- 16

n = 45

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 45

\frac{9}{y} - y = 8

5 + \frac{78}{y} = 8

100 = \frac{4}{r ^{2}}

\frac{4}{x} = \frac{4 x}{9}

\frac{1}{2 x - 3} = \frac{3}{3 x - 2}