What is 2x-3y=-13,3x-2y=-12 ?

The solution to 2x-3y=-13,3x-2y=-12 is x=-2,y=3

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2x-3y=-13,3x-2y=-12

2 x - 3 y = - 13, 3 x - 2 y = - 12

x = - 2, y = 3

Solution steps

[2 x - 3 y = - 13 3 x - 2 y = - 12]

Isolate

x

for

2 x - 3 y = - 13 : x = \frac{- 13 + 3 y}{2}

Substitute

x = \frac{- 13 + 3 y}{2}

[3 \cdot \frac{- 13 + 3 y}{2} - 2 y = - 12]

Simplify

[\frac{- 39 + 5 y}{2} = - 12]

Isolate

y

for

\frac{- 39 + 5 y}{2} = - 12 : y = 3

For

x = \frac{- 13 + 3 y}{2}

Substitute

y = 3

x = \frac{- 13 + 3 \cdot 3}{2}

\frac{- 13 + 3 \cdot 3}{2} = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 3

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

x + y = 100, x - y = 12

8 x - 3 y = 1, 3 x + 2 y = 16

2 (x + 1) + 3 (y + 1) = 15, 3 (x + 1) - 2 (y + 1) = 3

5 x + 3 y - 11 z = 13, 4 x - 5 y + 4 z = 18, 9 x - 2 y - 7 z = 25