What is the answer to (4r)/(5r+6)= 1/6 ?

The answer to (4r)/(5r+6)= 1/6 is r= 6/19

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(4r)/(5r+6)= 1/6

\frac{4 r}{5 r + 6} = \frac{1}{6}

r = \frac{6}{19}

Decimal Notation

r = 0.31578 \dots

Solution steps

\frac{4 r}{5 r + 6} = \frac{1}{6}

Cross multiply

24 r = 5 r + 6

Move

5 r

to the left side

19 r = 6

Divide both sides by

19

r = \frac{6}{19}

Verify Solutions

Find undefined (singularity) points:

r = - \frac{6}{5}

Combine undefined points with solutions:

r = \frac{6}{19}

x^{- 2} = \frac{1}{4}

\frac{3}{x + 1} = \frac{2}{x + 4}

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

\frac{1}{0.19} = \frac{12}{n}

\frac{4}{x - 1} = 2

What is the answer to (4r)/(5r+6)= 1/6 ?
The answer to (4r)/(5r+6)= 1/6 is r= 6/19
Solve for r: (4r)/(5r+6)= 1/6
The solution is r= 6/19