What is the answer to 4=(y+7)/(y-7) ?

The answer to 4=(y+7)/(y-7) is y= 35/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4=(y+7)/(y-7)

4 = \frac{y + 7}{y - 7}

y = \frac{35}{3}

Decimal Notation

y = 11.66666 \dots

Solution steps

4 = \frac{y + 7}{y - 7}

Multiply both sides by

y - 7

4 (y - 7) = y + 7

Expand

4 (y - 7) : 4 y - 28

4 y - 28 = y + 7

Move

28

to the right side

4 y = y + 35

Move

y

to the left side

3 y = 35

Divide both sides by

3

y = \frac{35}{3}

Verify Solutions

Find undefined (singularity) points:

y = 7

Combine undefined points with solutions:

y = \frac{35}{3}

\frac{7}{4} = \frac{5}{b} - 2

\frac{x ^{2} - 4}{x ^{2} - 4 x + 4} = - 1

- x = x^{- 1}

\frac{1.204}{x} = 0.565

\frac{- 2}{3 b} = 75