What is the answer to (31)/(5+n)=9 ?

The answer to (31)/(5+n)=9 is n=-14/9

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(31)/(5+n)=9

\frac{31}{5 + n} = 9

n = - \frac{14}{9}

Decimal Notation

n = - 1.55555 \dots

Solution steps

\frac{31}{5 + n} = 9

Multiply both sides by

5 + n

31 = 9 (5 + n)

Switch sides

9 (5 + n) = 31

Divide both sides by

9

5 + n = \frac{31}{9}

Move

5

to the right side

n = - \frac{14}{9}

Verify Solutions

Find undefined (singularity) points:

n = - 5

Combine undefined points with solutions:

n = - \frac{14}{9}

x, \frac{1}{x} - \frac{1}{( x + h )} = 0

x^{2} + x = \frac{2}{x ^{2} + x + 1}

\frac{( 1.2 - n )}{( 1 - n )} = 1.4

\frac{( x - 3 )}{x} = \frac{( x + 3 )}{( x + 8 )}

\frac{2 x + 4}{5 x} = 23 x - 6