What is the answer to (-7)/(7p-8)= 1/(p-1) ?

The answer to (-7)/(7p-8)= 1/(p-1) is p= 15/14

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(-7)/(7p-8)= 1/(p-1)

\frac{- 7}{7 p - 8} = \frac{1}{p - 1}

p = \frac{15}{14}

Decimal Notation

p = 1.07142 \dots

Solution steps

\frac{- 7}{7 p - 8} = \frac{1}{p - 1}

Cross multiply

- 7 p + 7 = 7 p - 8

Move

7

to the right side

- 7 p = 7 p - 15

Move

7 p

to the left side

- 14 p = - 15

Divide both sides by

- 14

p = \frac{15}{14}

Verify Solutions

Find undefined (singularity) points:

p = \frac{8}{7}, p = 1

Combine undefined points with solutions:

p = \frac{15}{14}

\frac{c + 1}{c - 2} = \frac{4}{7}

0.4 = \frac{2.8 x}{0.4 x ^{2} + 1.3}

\frac{10}{x} + 3 = \frac{x + 9}{x - 4}

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

\frac{4 x}{x + 2} = 8 - \frac{8}{x + 2}

What is the answer to (-7)/(7p-8)= 1/(p-1) ?
The answer to (-7)/(7p-8)= 1/(p-1) is p= 15/14
Solve for p: (-7)/(7p-8)= 1/(p-1)
The solution is p= 15/14