What is 5x-2y=-2,-3x+7y=22 ?

The solution to 5x-2y=-2,-3x+7y=22 is x= 30/29 ,y= 104/29

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5x-2y=-2,-3x+7y=22

5 x - 2 y = - 2, - 3 x + 7 y = 22

x = \frac{30}{29}, y = \frac{104}{29}

Solution steps

[5 x - 2 y = - 2 - 3 x + 7 y = 22]

Isolate

x

for

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

Substitute

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

[- 3 \cdot \frac{- 2 + 2 y}{5} + 7 y = 22]

Simplify

[\frac{6 + 29 y}{5} = 22]

Isolate

y

for

\frac{6 + 29 y}{5} = 22 : y = \frac{104}{29}

For

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

Substitute

y = \frac{104}{29}

x = \frac{- 2 + 2 \cdot \frac{104}{29}}{5}

\frac{- 2 + 2 \cdot \frac{104}{29}}{5} = \frac{30}{29}

x = \frac{30}{29}

The solutions to the system of equations are:

x = \frac{30}{29}, y = \frac{104}{29}

x + y = - 3, x - y = 1

(3) 2 x - 3 y = 9, 2 x + y = 13

3 x + 4 y = 17, 5 x - 2 y = 11

4 x + 3 y = 3, 7 - 4 x + 2 y = - 2

x + 2 y = 7, 5 x + y = 8

What is 5x-2y=-2,-3x+7y=22 ?
The solution to 5x-2y=-2,-3x+7y=22 is x= 30/29 ,y= 104/29