What is 3x+2y=-10,-3x+y=-2 ?

The solution to 3x+2y=-10,-3x+y=-2 is x=-2/3 ,y=-4

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3x+2y=-10,-3x+y=-2

3 x + 2 y = - 10, - 3 x + y = - 2

x = - \frac{2}{3}, y = - 4

Solution steps

[3 x + 2 y = - 10 - 3 x + y = - 2]

Isolate

x

for

3 x + 2 y = - 10 : x = \frac{- 10 - 2 y}{3}

Substitute

x = \frac{- 10 - 2 y}{3}

[- 3 \cdot \frac{- 10 - 2 y}{3} + y = - 2]

Simplify

[10 + 3 y = - 2]

Isolate

y

for

10 + 3 y = - 2 : y = - 4

For

x = \frac{- 10 - 2 y}{3}

Substitute

y = - 4

x = \frac{- 10 - 2 ( - 4 )}{3}

\frac{- 10 - 2 ( - 4 )}{3} = - \frac{2}{3}

x = - \frac{2}{3}

The solutions to the system of equations are:

x = - \frac{2}{3}, y = - 4

3 x + 2 y = 12, 4 x - 3 y = - 1

2 x - 3 \frac{y}{4} = 3, 5 x - 2 y - 7 = 0

3 x - 2 y = 5, 2 x - 3 y = 15

3 x - 2 y = 17, 4 x + y = 30

a = 5, b = 2, c = 1