What is 4x+y=-6,2x-4y=12 ?

The solution to 4x+y=-6,2x-4y=12 is x=-2/3 ,y=-10/3

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4x+y=-6,2x-4y=12

4 x + y = - 6, 2 x - 4 y = 12

x = - \frac{2}{3}, y = - \frac{10}{3}

Solution steps

[4 x + y = - 6 2 x - 4 y = 12]

Isolate

x

for

4 x + y = - 6 : x = \frac{- 6 - y}{4}

Substitute

x = \frac{- 6 - y}{4}

[2 \cdot \frac{- 6 - y}{4} - 4 y = 12]

Simplify

[\frac{- 6 - 9 y}{2} = 12]

Isolate

y

for

\frac{- 6 - 9 y}{2} = 12 : y = - \frac{10}{3}

For

x = \frac{- 6 - y}{4}

Substitute

y = - \frac{10}{3}

x = \frac{- 6 - ( - \frac{10}{3} )}{4}

\frac{- 6 - ( - \frac{10}{3} )}{4} = - \frac{2}{3}

x = - \frac{2}{3}

The solutions to the system of equations are:

x = - \frac{2}{3}, y = - \frac{10}{3}

2 x + 7 y = 1, - 2 x + 3 y = - 11

4 x - 3 y = 33, 3 x + 4 y = 11

x y = 1, 2 y x - y = 15

x + y = 3, 3 x - 3 y = 1

x + 2 = 9, x - 2 = - 5