What is the answer to 5/(y-7)= 3/(y-5) ?

The answer to 5/(y-7)= 3/(y-5) is y=2

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5/(y-7)= 3/(y-5)

\frac{5}{y - 7} = \frac{3}{y - 5}

y = 2

Solution steps

\frac{5}{y - 7} = \frac{3}{y - 5}

Cross multiply

5 y - 25 = 3 y - 21

Move

25

to the right side

5 y = 3 y + 4

Move

3 y

to the left side

2 y = 4

Divide both sides by

2

y = 2

Verify Solutions

Find undefined (singularity) points:

y = 7, y = 5

Combine undefined points with solutions:

y = 2

\frac{2}{x + 8} = \frac{3}{x - 9}

\frac{5}{x} + 2 = - 3

x^{- 2} = 4

x^{- 1} = 5

\frac{7}{9} = \frac{b}{b - 10}