What is the answer to 4/(n+9)= 2/7 ?

The answer to 4/(n+9)= 2/7 is n=5

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4/(n+9)= 2/7

\frac{4}{n + 9} = \frac{2}{7}

n = 5

Solution steps

\frac{4}{n + 9} = \frac{2}{7}

Cross multiply

28 = (n + 9) \cdot 2

Switch sides

(n + 9) \cdot 2 = 28

Divide both sides by

2

n + 9 = 14

Move

9

to the right side

n = 5

Verify Solutions

Find undefined (singularity) points:

n = - 9

Combine undefined points with solutions:

n = 5

\frac{3}{x} + \frac{5}{x + 2} = 2

x + \frac{6}{x} = 5

y, x = \frac{1}{y}

\frac{4}{x - 3} = 0

a, g = \frac{1 + 2 a}{a}