What is the answer to (y-5)/(y+5)=8 ?

The answer to (y-5)/(y+5)=8 is y=-45/7

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(y-5)/(y+5)=8

\frac{y - 5}{y + 5} = 8

y = - \frac{45}{7}

Decimal Notation

y = - 6.42857 \dots

Solution steps

\frac{y - 5}{y + 5} = 8

Multiply both sides by

y + 5

y - 5 = 8 (y + 5)

Expand

8 (y + 5) : 8 y + 40

y - 5 = 8 y + 40

Move

5

to the right side

y = 8 y + 45

Move

8 y

to the left side

- 7 y = 45

Divide both sides by

- 7

y = - \frac{45}{7}

Verify Solutions

Find undefined (singularity) points:

y = - 5

Combine undefined points with solutions:

y = - \frac{45}{7}

\frac{x + 10}{x - 7} = \frac{8}{9}

3 = \frac{36}{x}

\frac{- 2}{x ^{2}} = - \frac{2}{25}

x, y = \frac{x ^{2} + 1}{x}

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