What is the answer to (-1)/(3q-7)=-3 ?

The answer to (-1)/(3q-7)=-3 is q= 22/9

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(-1)/(3q-7)=-3

\frac{- 1}{3 q - 7} = - 3

q = \frac{22}{9}

Decimal Notation

q = 2.44444 \dots

Solution steps

\frac{- 1}{3 q - 7} = - 3

Simplify

\frac{- 1}{3 q - 7} : - \frac{1}{3 q - 7}

- \frac{1}{3 q - 7} = - 3

Multiply both sides by

3 q - 7

- 1 = - 3 (3 q - 7)

Switch sides

- 3 (3 q - 7) = - 1

Divide both sides by

- 3

3 q - 7 = \frac{1}{3}

Move

7

to the right side

3 q = \frac{22}{3}

Divide both sides by

3

q = \frac{22}{9}

Verify Solutions

Find undefined (singularity) points:

q = \frac{7}{3}

Combine undefined points with solutions:

q = \frac{22}{9}

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

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

\frac{3}{2.3} = \frac{70000}{X}

\frac{3}{5} = \frac{7}{x}

\frac{27}{81} = \frac{3}{r}