What is 5x+7y=-1,-3x+4y=-24 ?

The solution to 5x+7y=-1,-3x+4y=-24 is x=4,y=-3

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5x+7y=-1,-3x+4y=-24

5 x + 7 y = - 1, - 3 x + 4 y = - 24

x = 4, y = - 3

Solution steps

[5 x + 7 y = - 1 - 3 x + 4 y = - 24]

Isolate

x

for

5 x + 7 y = - 1 : x = \frac{- 1 - 7 y}{5}

Substitute

x = \frac{- 1 - 7 y}{5}

[- 3 \cdot \frac{- 1 - 7 y}{5} + 4 y = - 24]

Simplify

[\frac{3 + 41 y}{5} = - 24]

Isolate

y

for

\frac{3 + 41 y}{5} = - 24 : y = - 3

For

x = \frac{- 1 - 7 y}{5}

Substitute

y = - 3

x = \frac{- 1 - 7 ( - 3 )}{5}

\frac{- 1 - 7 ( - 3 )}{5} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 3

2 x - 3 y = 5, x + y = 10

x + y = 9, 2 x - 3 y = - 7

2 x + y = 10, 3 x + 4 y = 25

5 x + 9 y = 51, 8 x + 9 y = 22

x + y = 9, 8 x - y = 0