What is the answer to 5/3 = 4/y-1 ?

The answer to 5/3 = 4/y-1 is y= 3/2

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5/3 = 4/y-1

\frac{5}{3} = \frac{4}{y} - 1

y = \frac{3}{2}

Solution steps

\frac{5}{3} = \frac{4}{y} - 1

Multiply by LCM

5 y = 12 - 3 y

Move

3 y

to the left side

8 y = 12

Divide both sides by

8

y = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{3}{2}

2 = \frac{x + 7}{x - 10}

3 = - \frac{6}{d}

50 = \frac{1}{x}

\frac{4}{x} + \frac{3 x}{x - 2} = 3

\frac{3}{x + 3} + 5 = \frac{23}{x + 3}