What is the answer to 9/(q+9)= 4/(2q+6) ?

The answer to 9/(q+9)= 4/(2q+6) is q=-9/7

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9/(q+9)= 4/(2q+6)

\frac{9}{q + 9} = \frac{4}{2 q + 6}

q = - \frac{9}{7}

Decimal Notation

q = - 1.28571 \dots

Solution steps

\frac{9}{q + 9} = \frac{4}{2 q + 6}

Cross multiply

9 q + 27 = 2 q + 18

Move

27

to the right side

9 q = 2 q - 9

Move

2 q

to the left side

7 q = - 9

Divide both sides by

7

q = - \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

q = - 9, q = - 3

Combine undefined points with solutions:

q = - \frac{9}{7}

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

2 x + \frac{2}{x ^{3}} = 0

6 = \frac{1.5 x}{0.05 x + 17.4}

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

2 (\frac{8}{1} + \frac{1}{x}) = 1 + x

What is the answer to 9/(q+9)= 4/(2q+6) ?
The answer to 9/(q+9)= 4/(2q+6) is q=-9/7
Solve for q: 9/(q+9)= 4/(2q+6)
The solution is q=-9/7