What is the answer to 1/6 r+2=4 1/9 r+8/3 ?

The answer to 1/6 r+2=4 1/9 r+8/3 is r=-12/71

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1/6 r+2=4 1/9 r+8/3

\frac{1}{6} r + 2 = 4 \frac{1}{9} r + \frac{8}{3}

r = - \frac{12}{71}

Solution steps

\frac{1}{6} r + 2 = 4 \frac{1}{9} r + \frac{8}{3}

Convert mixed numbers to improper fractions:

4 \frac{1}{9} = \frac{37}{9}

\frac{1}{6} r + 2 = \frac{37}{9} r + \frac{8}{3}

Move

2

to the right side

\frac{1}{6} r = \frac{2}{3} + \frac{37}{9} r

Move

\frac{37}{9} r

to the left side

- \frac{71}{18} r = \frac{2}{3}

Multiply both sides by

18

- 71 r = 12

Divide both sides by

- 71

r = - \frac{12}{71}

\frac{x}{8} = \frac{11}{2}

y, x + 4 y = 24

24 = 3 (3 x - 7)

x, 7 x - 5 y = 35

27 = \frac{2}{7} x + 5

What is the answer to 1/6 r+2=4 1/9 r+8/3 ?
The answer to 1/6 r+2=4 1/9 r+8/3 is r=-12/71
Solve for r: 1/6 r+2=4 1/9 r+8/3
The solution is r=-12/71