What is the answer to 4/5 =(12)/(2y-3) ?

The answer to 4/5 =(12)/(2y-3) is y=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/5 =(12)/(2y-3)

\frac{4}{5} = \frac{12}{2 y - 3}

y = 9

Solution steps

\frac{4}{5} = \frac{12}{2 y - 3}

Cross multiply

4 (2 y - 3) = 60

Divide both sides by

4

2 y - 3 = 15

Move

3

to the right side

2 y = 18

Divide both sides by

2

y = 9

Verify Solutions

Find undefined (singularity) points:

y = \frac{3}{2}

Combine undefined points with solutions:

y = 9

3 x^{- 2} - 5 x^{- 1} - 2 = 0

\frac{2}{x} = 5

x - 2 = \frac{35}{x}

x^{- 2} + 3 x^{- 1} + 2 = 0

\frac{x ^{2}}{x + 40} = 20