What is -3x+2y=-11,-x+3y=0 ?

The solution to -3x+2y=-11,-x+3y=0 is x= 33/7 ,y= 11/7

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-3x+2y=-11,-x+3y=0

- 3 x + 2 y = - 11, - x + 3 y = 0

x = \frac{33}{7}, y = \frac{11}{7}

Solution steps

[- 3 x + 2 y = - 11 - x + 3 y = 0]

Isolate

x

for

- 3 x + 2 y = - 11 : x = - \frac{- 11 - 2 y}{3}

Substitute

x = - \frac{- 11 - 2 y}{3}

[- (- \frac{- 11 - 2 y}{3}) + 3 y = 0]

Simplify

[\frac{- 11 + 7 y}{3} = 0]

Isolate

y

for

\frac{- 11 + 7 y}{3} = 0 : y = \frac{11}{7}

For

x = - \frac{- 11 - 2 y}{3}

Substitute

y = \frac{11}{7}

x = - \frac{- 11 - 2 \cdot \frac{11}{7}}{3}

- \frac{- 11 - 2 \cdot \frac{11}{7}}{3} = \frac{33}{7}

x = \frac{33}{7}

The solutions to the system of equations are:

x = \frac{33}{7}, y = \frac{11}{7}

m + 11 m = 4, - 5 m - 3 n = 10

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

7 x - 5 y = 15, 3 x - y = 12

x - y + 2 = 2, x - 5 y + 1 = 0

x + y = 2, 2 x + y = 5

What is -3x+2y=-11,-x+3y=0 ?
The solution to -3x+2y=-11,-x+3y=0 is x= 33/7 ,y= 11/7