What is the answer to 7/(x+9)= 21/36 ?

The answer to 7/(x+9)= 21/36 is x=3

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7/(x+9)= 21/36

\frac{7}{x + 9} = \frac{21}{36}

x = 3

Solution steps

\frac{7}{x + 9} = \frac{21}{36}

Cross multiply

252 = (x + 9) \cdot 21

Switch sides

(x + 9) \cdot 21 = 252

Divide both sides by

21

x + 9 = 12

Move

9

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = 3

\frac{9}{x + 9} = \frac{4}{x - 1}

x, - \frac{3}{x} + y = 15

\frac{p - 5}{p + 1} = \frac{2}{3}

z + \frac{10}{z} = 6

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