What is the answer to m/3 =(m+4)/7 ?

The answer to m/3 =(m+4)/7 is m=3

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m/3 =(m+4)/7

\frac{m}{3} = \frac{m + 4}{7}

m = 3

Solution steps

\frac{m}{3} = \frac{m + 4}{7}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

m \cdot 7 = 3 (m + 4)

Expand

3 (m + 4) : 3 m + 12

m \cdot 7 = 3 m + 12

Move

3 m

to the left side

4 m = 12

Divide both sides by

4

m = 3

\frac{1}{12} n + 2 = \frac{7}{12} n - 3 + \frac{5}{6} n

10 x - 15 = 4 x + 27

x, - 4 x + y = - 8

9 (x - 2) = 3 (x + 4)

x, 6 x + y = 2 y + 8