What is the answer to solvefor y,(x-y}{12}=\frac{2x+y)/5 ?

The answer to solvefor y,(x-y}{12}=\frac{2x+y)/5 is y=-(19x)/(17)

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solvefor y,(x-y}{12}=\frac{2x+y)/5

solve for

y, \frac{x - y}{12} = \frac{2 x + y}{5}

y = - \frac{19 x}{17}

Solution steps

\frac{x - y}{12} = \frac{2 x + y}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - y) \cdot 5 = 12 (2 x + y)

Expand

(x - y) \cdot 5 : 5 x - 5 y

Expand

12 (2 x + y) : 24 x + 12 y

5 x - 5 y = 24 x + 12 y

Move

5 x

to the right side

- 5 y = 19 x + 12 y

Move

12 y

to the left side

- 17 y = 19 x

Divide both sides by

- 17

y = - \frac{19 x}{17}

- \frac{2}{3} = \frac{1}{8} y - \frac{5}{6}

x, x + y + z = 25

- 4 = - 5 r - 44

y, 3 x + 5 y = 30

2 v + 5 = 17

What is the answer to solvefor y,(x-y}{12}=\frac{2x+y)/5 ?
The answer to solvefor y,(x-y}{12}=\frac{2x+y)/5 is y=-(19x)/(17)