What is the answer to 2/11 = 9/(r+7) ?

The answer to 2/11 = 9/(r+7) is r= 85/2

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2/11 = 9/(r+7)

\frac{2}{11} = \frac{9}{r + 7}

r = \frac{85}{2}

Decimal Notation

r = 42.5

Solution steps

\frac{2}{11} = \frac{9}{r + 7}

Cross multiply

2 (r + 7) = 99

Divide both sides by

2

r + 7 = \frac{99}{2}

Move

7

to the right side

r = \frac{85}{2}

Verify Solutions

Find undefined (singularity) points:

r = - 7

Combine undefined points with solutions:

r = \frac{85}{2}

\frac{15}{y} = \frac{10}{26}

y = \frac{2 y}{y - 1}

\frac{3}{2} = \frac{4}{x}

\frac{10000}{x} = 2

2 + \frac{4}{a} = \frac{14}{a} - 3