What is the answer to 2/9 = 3/(n+10) ?

The answer to 2/9 = 3/(n+10) is n= 7/2

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2/9 = 3/(n+10)

\frac{2}{9} = \frac{3}{n + 10}

n = \frac{7}{2}

Decimal Notation

n = 3.5

Solution steps

\frac{2}{9} = \frac{3}{n + 10}

Cross multiply

2 (n + 10) = 27

Divide both sides by

2

n + 10 = \frac{27}{2}

Move

10

to the right side

n = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

n = - 10

Combine undefined points with solutions:

n = \frac{7}{2}

\frac{7}{5} = \frac{5}{x}

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

\frac{y}{y + 6} = \frac{4}{5}

70 - x + x (\frac{40}{x} + 1)^{2} = 145

\frac{18}{27} = \frac{8}{x}