What is the answer to (y+2)/y = 5/3 ?

The answer to (y+2)/y = 5/3 is y=3

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(y+2)/y = 5/3

\frac{y + 2}{y} = \frac{5}{3}

y = 3

Solution steps

\frac{y + 2}{y} = \frac{5}{3}

Cross multiply

3 y + 6 = y \cdot 5

Move

6

to the right side

3 y = y \cdot 5 - 6

Move

y 5

to the left side

- 2 y = - 6

Divide both sides by

- 2

y = 3

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 3

\frac{6}{x - 8} = \frac{2}{x + 6}

\frac{r}{r - 2} - 5 = \frac{2}{r - 2}

\frac{x + 3}{x - 5} = 0

\frac{x}{x + 3} = \frac{8}{x + 6}

\frac{5}{8} = \frac{10}{x}