What is 3x+y=-5,-5x+2y=-19 ?

The solution to 3x+y=-5,-5x+2y=-19 is x= 9/11 ,y=-82/11

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3x+y=-5,-5x+2y=-19

3 x + y = - 5, - 5 x + 2 y = - 19

x = \frac{9}{11}, y = - \frac{82}{11}

Solution steps

[3 x + y = - 5 - 5 x + 2 y = - 19]

Isolate

x

for

3 x + y = - 5 : x = \frac{- 5 - y}{3}

Substitute

x = \frac{- 5 - y}{3}

[- 5 \cdot \frac{- 5 - y}{3} + 2 y = - 19]

Simplify

[\frac{25 + 11 y}{3} = - 19]

Isolate

y

for

\frac{25 + 11 y}{3} = - 19 : y = - \frac{82}{11}

For

x = \frac{- 5 - y}{3}

Substitute

y = - \frac{82}{11}

x = \frac{- 5 - ( - \frac{82}{11} )}{3}

\frac{- 5 - ( - \frac{82}{11} )}{3} = \frac{9}{11}

x = \frac{9}{11}

The solutions to the system of equations are:

x = \frac{9}{11}, y = - \frac{82}{11}

x - y = 4, x + y = 30, r = 30 - x

(2) x + 7 y = 10, 3 x - 2 y = 7

x + 2 y = 7, x + y = 4

11 x + 15 y = - 23, 10 x + 2 y = 20

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

What is 3x+y=-5,-5x+2y=-19 ?
The solution to 3x+y=-5,-5x+2y=-19 is x= 9/11 ,y=-82/11