What is 3(3x+5)=6x-y+9,12x+5y=-32 ?

The solution to 3(3x+5)=6x-y+9,12x+5y=-32 is x= 2/3 ,y=-8

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3(3x+5)=6x-y+9,12x+5y=-32

3 (3 x + 5) = 6 x - y + 9, 12 x + 5 y = - 32

x = \frac{2}{3}, y = - 8

Solution steps

[3 (3 x + 5) = 6 x - y + 9 12 x + 5 y = - 32]

Isolate

x

for

12 x + 5 y = - 32 : x = \frac{- 32 - 5 y}{12}

Substitute

x = \frac{- 32 - 5 y}{12}

[3 (3 \cdot \frac{- 32 - 5 y}{12} + 5) = 6 \cdot \frac{- 32 - 5 y}{12} - y + 9]

Simplify

[3 (\frac{- 32 - 5 y}{4} + 5) = \frac{- 32 - 7 y}{2} + 9]

Isolate

y

for

3 (\frac{- 32 - 5 y}{4} + 5) = \frac{- 32 - 7 y}{2} + 9 : y = - 8

For

x = \frac{- 32 - 5 y}{12}

Substitute

y = - 8

x = \frac{- 32 - 5 ( - 8 )}{12}

\frac{- 32 - 5 ( - 8 )}{12} = \frac{2}{3}

x = \frac{2}{3}

The solutions to the system of equations are:

x = \frac{2}{3}, y = - 8

4 x + 3 y = 1, 5 x + 3 y = 8

5 x + 3 y = 9, 2 x - 3 y = 12

3 x + 2 y + z = 2, 4 x + 2 y + 2 z = 8, x - y + z = 4

- 4 x + 6 y = 21, 5 x - 6 y = 9

x - y = - 1, 2 x - y = 1

What is 3(3x+5)=6x-y+9,12x+5y=-32 ?
The solution to 3(3x+5)=6x-y+9,12x+5y=-32 is x= 2/3 ,y=-8