What is -3x+2y=-1,4x-y=-1/2 ?

The solution to -3x+2y=-1,4x-y=-1/2 is x=-2/5 ,y=-11/10

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

- 3 x + 2 y = - 1, 4 x - y = - \frac{1}{2}

x = - \frac{2}{5}, y = - \frac{11}{10}

Solution steps

[- 3 x + 2 y = - 1 4 x - y = - \frac{1}{2}]

Isolate

x

for

- 3 x + 2 y = - 1 : x = - \frac{- 1 - 2 y}{3}

Substitute

x = - \frac{- 1 - 2 y}{3}

[4 (- \frac{- 1 - 2 y}{3}) - y = - \frac{1}{2}]

Simplify

[\frac{4 + 5 y}{3} = - \frac{1}{2}]

Isolate

y

for

\frac{4 + 5 y}{3} = - \frac{1}{2} : y = - \frac{11}{10}

For

x = - \frac{- 1 - 2 y}{3}

Substitute

y = - \frac{11}{10}

x = - \frac{- 1 - 2 ( - \frac{11}{10} )}{3}

- \frac{- 1 - 2 ( - \frac{11}{10} )}{3} = - \frac{2}{5}

x = - \frac{2}{5}

The solutions to the system of equations are:

x = - \frac{2}{5}, y = - \frac{11}{10}

12 x + 8 y = - 92, - 2.5 y + x = - 33

83 x + 71 y = 35, 71 x + 83 y = 472

x + y = 7, x + 3 y = 15

x - y = 5, 2 x + 3 x = 0

7 x + y = 19, 4 x - y = 3

What is -3x+2y=-1,4x-y=-1/2 ?
The solution to -3x+2y=-1,4x-y=-1/2 is x=-2/5 ,y=-11/10