What is 2x-5y=20,-3(x-y)+y=-2 ?

The solution to 2x-5y=20,-3(x-y)+y=-2 is x=-10,y=-8

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2x-5y=20,-3(x-y)+y=-2

2 x - 5 y = 20, - 3 (x - y) + y = - 2

x = - 10, y = - 8

Solution steps

[2 x - 5 y = 20 - 3 (x - y) + y = - 2]

Isolate

x

for

2 x - 5 y = 20 : x = \frac{20 + 5 y}{2}

Substitute

x = \frac{20 + 5 y}{2}

[- 3 (\frac{20 + 5 y}{2} - y) + y = - 2]

Simplify

[\frac{- 60 - 7 y}{2} = - 2]

Isolate

y

for

\frac{- 60 - 7 y}{2} = - 2 : y = - 8

For

x = \frac{20 + 5 y}{2}

Substitute

y = - 8

x = \frac{20 + 5 ( - 8 )}{2}

\frac{20 + 5 ( - 8 )}{2} = - 10

x = - 10

The solutions to the system of equations are:

x = - 10, y = - 8

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

x + y = 14, 0 x - 2 y = 20

2 x + y = 3, x + y = 2

x + y = 6, 2 x - y = 24

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

What is 2x-5y=20,-3(x-y)+y=-2 ?
The solution to 2x-5y=20,-3(x-y)+y=-2 is x=-10,y=-8