What is x+2y+1=0,2x-3y-12=0 ?

The solution to x+2y+1=0,2x-3y-12=0 is x=3,y=-2

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x+2y+1=0,2x-3y-12=0

x + 2 y + 1 = 0, 2 x - 3 y - 12 = 0

x = 3, y = - 2

Solution steps

[x + 2 y + 1 = 0 2 x - 3 y - 12 = 0]

Isolate

x

for

x + 2 y + 1 = 0 : x = - 2 y - 1

Substitute

x = - 2 y - 1

[2 (- 2 y - 1) - 3 y - 12 = 0]

Simplify

[- 7 y - 14 = 0]

Isolate

y

for

- 7 y - 14 = 0 : y = - 2

For

x = - 2 y - 1

Substitute

y = - 2

x = - 2 (- 2) - 1

- 2 (- 2) - 1 = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 2

x - 4 y = 2, 3 x - 12 y = 6

\frac{2 x - 3 y}{4} = 3, 5 x = 2 y + 7

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

2 x + 3 y = 5, x - y = 7

x - y = 2, 5 x + y = 25