What is 9x+11y=-14,6x-5y=-34 ?

The solution to 9x+11y=-14,6x-5y=-34 is x=-4,y=2

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9x+11y=-14,6x-5y=-34

9 x + 11 y = - 14, 6 x - 5 y = - 34

x = - 4, y = 2

Solution steps

[9 x + 11 y = - 14 6 x - 5 y = - 34]

Isolate

x

for

9 x + 11 y = - 14 : x = \frac{- 14 - 11 y}{9}

Substitute

x = \frac{- 14 - 11 y}{9}

[6 \cdot \frac{- 14 - 11 y}{9} - 5 y = - 34]

Simplify

[\frac{- 37 y - 28}{3} = - 34]

Isolate

y

for

\frac{- 37 y - 28}{3} = - 34 : y = 2

For

x = \frac{- 14 - 11 y}{9}

Substitute

y = 2

x = \frac{- 14 - 11 \cdot 2}{9}

\frac{- 14 - 11 \cdot 2}{9} = - 4

x = - 4

The solutions to the system of equations are:

x = - 4, y = 2

x + y = 3, 2 x - y = 0

3 x + 2 y = 14, 5 x - 2 y = 2

- 10 x + 3 y = 5, x = y - 4

2 x + 3 y = 2, - 6 x + 12 y = 1

4 y + 3 x = 8, 8 x - 9 y = - 77