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

The solution to 2x-3y=5,5x+2y=-5 is x=-5/19 ,y=-35/19

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

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

x = - \frac{5}{19}, y = - \frac{35}{19}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{25 + 19 y}{2} = - 5]

Isolate

y

for

\frac{25 + 19 y}{2} = - 5 : y = - \frac{35}{19}

For

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

Substitute

y = - \frac{35}{19}

x = \frac{5 + 3 ( - \frac{35}{19} )}{2}

\frac{5 + 3 ( - \frac{35}{19} )}{2} = - \frac{5}{19}

x = - \frac{5}{19}

The solutions to the system of equations are:

x = - \frac{5}{19}, y = - \frac{35}{19}

x + y = 2, 2 x + y = 0

- 3 x + 7 y = - 16, - 9 x + 5 y = 16

- 5 x + 7 y = - 25, 6 x - y = - 7

3 x + y + 2 z = 6, - x + 2 y - 5 z = 8, 4 x + 6 y + z = 9

5 x - y = 3, 4 x + 6 y = 2

What is 2x-3y=5,5x+2y=-5 ?
The solution to 2x-3y=5,5x+2y=-5 is x=-5/19 ,y=-35/19