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

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

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

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

y = 4

Solution steps

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

Cross multiply

14 y - 21 = 5 y + 15

Move

21

to the right side

14 y = 5 y + 36

Move

5 y

to the left side

9 y = 36

Divide both sides by

9

y = 4

Verify Solutions

Find undefined (singularity) points:

y = - 3

Combine undefined points with solutions:

y = 4

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

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

12 y^{- 2} - 23 y^{- 1} = - 5

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

\frac{4}{5 x + 1} = \frac{9}{10 x + 1}

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