What is 3y-6x=9,2x+y=-2 ?

The solution to 3y-6x=9,2x+y=-2 is x=-5/4 ,y= 1/2

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3y-6x=9,2x+y=-2

3 y - 6 x = 9, 2 x + y = - 2

x = - \frac{5}{4}, y = \frac{1}{2}

Solution steps

[3 y - 6 x = 9 2 x + y = - 2]

Isolate

y

for

3 y - 6 x = 9 : y = 3 + 2 x

Substitute

y = 3 + 2 x

[2 x + 3 + 2 x = - 2]

Simplify

[4 x + 3 = - 2]

Isolate

x

for

4 x + 3 = - 2 : x = - \frac{5}{4}

For

y = 3 + 2 x

Substitute

x = - \frac{5}{4}

y = 3 + 2 (- \frac{5}{4})

3 + 2 (- \frac{5}{4}) = \frac{1}{2}

y = \frac{1}{2}

The solutions to the system of equations are:

x = - \frac{5}{4}, y = \frac{1}{2}

3 x + 2 y - 7 = 2, x + y - 6 = 0

3 x + 3 y = 21, 3 x - 3 y = 3

- 5 x + 2 y = - 17, 4 x - 3 y = 22

5 x - 7 y = 34, 6 x + 8 y = 8

3 x - 6 y = 6, x + 9 y - 12 = 0