What is the answer to 5/6 = 3/4 x+1/3 ?

The answer to 5/6 = 3/4 x+1/3 is x= 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/6 = 3/4 x+1/3

\frac{5}{6} = \frac{3}{4} x + \frac{1}{3}

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{5}{6} = \frac{3}{4} x + \frac{1}{3}

Switch sides

\frac{3}{4} x + \frac{1}{3} = \frac{5}{6}

Move

\frac{1}{3}

to the right side

\frac{3}{4} x = \frac{1}{2}

Multiply both sides by

4

3 x = 2

Divide both sides by

3

x = \frac{2}{3}

y, x = 3 y + 4

x, 7 x + 8 y = 2900

\frac{- 4}{2} = x

x, - 12 x - 3 y = 36

y, x = 9 y