What is 2x+3y+5=0,3x-2y+2=0 ?

The solution to 2x+3y+5=0,3x-2y+2=0 is x=-16/13 ,y=-11/13

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2x+3y+5=0,3x-2y+2=0

2 x + 3 y + 5 = 0, 3 x - 2 y + 2 = 0

x = - \frac{16}{13}, y = - \frac{11}{13}

Solution steps

[2 x + 3 y + 5 = 0 3 x - 2 y + 2 = 0]

Isolate

x

for

2 x + 3 y + 5 = 0 : x = \frac{- 3 y - 5}{2}

Substitute

x = \frac{- 3 y - 5}{2}

[3 \cdot \frac{- 3 y - 5}{2} - 2 y + 2 = 0]

Simplify

[\frac{- 13 y - 15}{2} + 2 = 0]

Isolate

y

for

\frac{- 13 y - 15}{2} + 2 = 0 : y = - \frac{11}{13}

For

x = \frac{- 3 y - 5}{2}

Substitute

y = - \frac{11}{13}

x = \frac{- 3 ( - \frac{11}{13} ) - 5}{2}

\frac{- 3 ( - \frac{11}{13} ) - 5}{2} = - \frac{16}{13}

x = - \frac{16}{13}

The solutions to the system of equations are:

x = - \frac{16}{13}, y = - \frac{11}{13}

5 x - y = 6, 5 x + 2 y = 2

x - 4 y = - x + 5, y = 2

23 x + 29 y = 98, 29 x - 23 y = 110

2 x + 3 y + 5 = 0, 3 x - 2 y - 12 = 0

8 x + y = - 16, - 3 x + y = - 5

What is 2x+3y+5=0,3x-2y+2=0 ?
The solution to 2x+3y+5=0,3x-2y+2=0 is x=-16/13 ,y=-11/13