What is -5x+2y=-17,4x-3y=22 ?

The solution to -5x+2y=-17,4x-3y=22 is x=1,y=-6

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-5x+2y=-17,4x-3y=22

- 5 x + 2 y = - 17, 4 x - 3 y = 22

x = 1, y = - 6

Solution steps

[- 5 x + 2 y = - 17 4 x - 3 y = 22]

Isolate

x

for

- 5 x + 2 y = - 17 : x = - \frac{- 17 - 2 y}{5}

Substitute

x = - \frac{- 17 - 2 y}{5}

[4 (- \frac{- 17 - 2 y}{5}) - 3 y = 22]

Simplify

[\frac{68 - 7 y}{5} = 22]

Isolate

y

for

\frac{68 - 7 y}{5} = 22 : y = - 6

For

x = - \frac{- 17 - 2 y}{5}

Substitute

y = - 6

x = - \frac{- 17 - 2 ( - 6 )}{5}

- \frac{- 17 - 2 ( - 6 )}{5} = 1

x = 1

The solutions to the system of equations are:

x = 1, y = - 6

5 x - 7 y = 34, 6 x + 8 y = 8

3 x - 6 y = 6, x + 9 y - 12 = 0

x + y + z = 1, 3 x - y + 2 z = 7, 3 x + y - z = 23

x + y + z = 6, 2 x - y + 2 z = 6, x + y + z = - 5

5 x + 2 y = 23, 3 x + 3 y = 21