What is -7x+y=-19,-2x+3y=-19 ?

The solution to -7x+y=-19,-2x+3y=-19 is x=2,y=-5

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-7x+y=-19,-2x+3y=-19

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

x = 2, y = - 5

Solution steps

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

Isolate

x

for

- 7 x + y = - 19 : x = - \frac{- 19 - y}{7}

Substitute

x = - \frac{- 19 - y}{7}

[- 2 (- \frac{- 19 - y}{7}) + 3 y = - 19]

Simplify

[\frac{- 38 + 19 y}{7} = - 19]

Isolate

y

for

\frac{- 38 + 19 y}{7} = - 19 : y = - 5

For

x = - \frac{- 19 - y}{7}

Substitute

y = - 5

x = - \frac{- 19 - ( - 5 )}{7}

- \frac{- 19 - ( - 5 )}{7} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 5

s = + \frac{1}{2}, n = 5, l = 3, m = 0

x + 3 y = 10, 8 x + y = 11

x - 2 y = - 7, 4 x + 2 y = 5

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

67 x + 108 y = - 417, 108 x + 67 y = - 458