What is the answer to (2p+1)/(5p+6)= 1/7 ?

The answer to (2p+1)/(5p+6)= 1/7 is p=-1/9

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(2p+1)/(5p+6)= 1/7

\frac{2 p + 1}{5 p + 6} = \frac{1}{7}

p = - \frac{1}{9}

Solution steps

\frac{2 p + 1}{5 p + 6} = \frac{1}{7}

Cross multiply

14 p + 7 = 5 p + 6

Move

7

to the right side

14 p = 5 p - 1

Move

5 p

to the left side

9 p = - 1

Divide both sides by

9

p = - \frac{1}{9}

Verify Solutions

Find undefined (singularity) points:

p = - \frac{6}{5}

Combine undefined points with solutions:

p = - \frac{1}{9}

\frac{z - 3}{3 - z} = 3

\frac{4}{x} = \frac{x}{9}

\frac{1}{a ^{- n}} = a^{n}

9 = \frac{8 c + 15}{c}

\frac{1}{x + 1} + 5 = \frac{11}{x + 1}

What is the answer to (2p+1)/(5p+6)= 1/7 ?
The answer to (2p+1)/(5p+6)= 1/7 is p=-1/9
Solve for p: (2p+1)/(5p+6)= 1/7
The solution is p=-1/9