What is 3x-2y=-2,5x+8y=-60 ?

The solution to 3x-2y=-2,5x+8y=-60 is x=-4,y=-5

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3x-2y=-2,5x+8y=-60

3 x - 2 y = - 2, 5 x + 8 y = - 60

x = - 4, y = - 5

Solution steps

[3 x - 2 y = - 2 5 x + 8 y = - 60]

Isolate

x

for

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

Substitute

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

[5 \cdot \frac{- 2 + 2 y}{3} + 8 y = - 60]

Simplify

[\frac{- 10 + 34 y}{3} = - 60]

Isolate

y

for

\frac{- 10 + 34 y}{3} = - 60 : y = - 5

For

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

Substitute

y = - 5

x = \frac{- 2 + 2 ( - 5 )}{3}

\frac{- 2 + 2 ( - 5 )}{3} = - 4

x = - 4

The solutions to the system of equations are:

x = - 4, y = - 5

x - y + 4 z = 5, 2 x + z = 0, x + 3 y + z = - 15

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

55 x + 52 y = 21, 752 x + 55 y = 217

x - 3 y = - 2 x + 9, y = 4

- 3 x + 3 y = 1, 7 - 6 x + 6 y = - 5