What is the answer to 11/7 x=4 5/7 ?

The answer to 11/7 x=4 5/7 is x=3

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11/7 x=4 5/7

\frac{11}{7} x = 4 \frac{5}{7}

x = 3

Solution steps

\frac{11}{7} x = 4 \frac{5}{7}

Convert mixed numbers to improper fractions:

4 \frac{5}{7} = \frac{33}{7}

\frac{11}{7} x = \frac{33}{7}

Multiply both sides by

7

11 x = 33

Divide both sides by

11

x = 3

y, x = 3 y - 11

\frac{x}{4} + \frac{x}{3} = 4

y, 4 y + 9 x = 18

3 x + 52 = 5 x + 18

2 x + 122 = 154 - 2 x