What is the answer to 4/(2y-3)= 7/(3y-5) ?

The answer to 4/(2y-3)= 7/(3y-5) is y= 1/2

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4/(2y-3)= 7/(3y-5)

\frac{4}{2 y - 3} = \frac{7}{3 y - 5}

y = \frac{1}{2}

Decimal Notation

y = 0.5

Solution steps

\frac{4}{2 y - 3} = \frac{7}{3 y - 5}

Cross multiply

12 y - 20 = 14 y - 21

Move

20

to the right side

12 y = 14 y - 1

Move

14 y

to the left side

- 2 y = - 1

Divide both sides by

- 2

y = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

y = \frac{1}{2}

34 - \frac{1}{x ^{2}} = 0

\frac{1}{3 x + 3} = \frac{1}{6} - \frac{2}{x + 1}

\frac{x - 9}{3 x - 1} = \frac{x - 9}{x + 33}

- 6 = \frac{e ^{\frac{- 1 + C}{- 1}}}{x}

\frac{3 x - 26}{7} = \frac{- 5}{x}

What is the answer to 4/(2y-3)= 7/(3y-5) ?
The answer to 4/(2y-3)= 7/(3y-5) is y= 1/2
Solve for y: 4/(2y-3)= 7/(3y-5)
The solution is y= 1/2