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

The solution to 5x+7y=-1,3x+4y=-24 is x=-164,y=117

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

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

x = - 164, y = 117

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 - y}{5} = - 24]

Isolate

y

for

\frac{- 3 - y}{5} = - 24 : y = 117

For

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

Substitute

y = 117

x = \frac{- 1 - 7 \cdot 117}{5}

\frac{- 1 - 7 \cdot 117}{5} = - 164

x = - 164

The solutions to the system of equations are:

x = - 164, y = 117

3 q - 200 p + 1800 = 3, q + 100 p - 1800 = 0

x + y = 8, 2 x - y = 16

x + y = 8, 2 x - y = 12

5 x - 2 y = - 3, - 2 x - y = - 6

x + y = 2, 3 x + 3 y = - 6