What is the answer to 7=(31)/(7+4g) ?

The answer to 7=(31)/(7+4g) is g=-9/14

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7=(31)/(7+4g)

7 = \frac{31}{7 + 4 g}

g = - \frac{9}{14}

Decimal Notation

g = - 0.64285 \dots

Solution steps

7 = \frac{31}{7 + 4 g}

Multiply both sides by

7 + 4 g

7 (7 + 4 g) = 31

Divide both sides by

7

7 + 4 g = \frac{31}{7}

Move

7

to the right side

4 g = - \frac{18}{7}

Divide both sides by

4

g = - \frac{9}{14}

Verify Solutions

Find undefined (singularity) points:

g = - \frac{7}{4}

Combine undefined points with solutions:

g = - \frac{9}{14}

\frac{3 - x}{( x - 4 )} = \frac{4}{( 4 - x )}

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

\frac{- 5}{7 \cdot x - 2} = 0

x + 3 = x (\frac{3}{x}) - 5 x

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