What is 5x-2y=7,4x+3y=-2 ?

The solution to 5x-2y=7,4x+3y=-2 is x= 17/23 ,y=-38/23

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5x-2y=7,4x+3y=-2

5 x - 2 y = 7, 4 x + 3 y = - 2

x = \frac{17}{23}, y = - \frac{38}{23}

Solution steps

[5 x - 2 y = 7 4 x + 3 y = - 2]

Isolate

x

for

5 x - 2 y = 7 : x = \frac{7 + 2 y}{5}

Substitute

x = \frac{7 + 2 y}{5}

[4 \cdot \frac{7 + 2 y}{5} + 3 y = - 2]

Simplify

[\frac{28 + 23 y}{5} = - 2]

Isolate

y

for

\frac{28 + 23 y}{5} = - 2 : y = - \frac{38}{23}

For

x = \frac{7 + 2 y}{5}

Substitute

y = - \frac{38}{23}

x = \frac{7 + 2 ( - \frac{38}{23} )}{5}

\frac{7 + 2 ( - \frac{38}{23} )}{5} = \frac{17}{23}

x = \frac{17}{23}

The solutions to the system of equations are:

x = \frac{17}{23}, y = - \frac{38}{23}

3 x - 18 y = - 54, 5 x - 4 y = - 40

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

x + y = 3, 2 x + 5 y = 15, 2 x + 2 y = - 3

3 x + 2 y = 3, 2 x + 2 y = 1

2 x - y = 0, y - x = 2

What is 5x-2y=7,4x+3y=-2 ?
The solution to 5x-2y=7,4x+3y=-2 is x= 17/23 ,y=-38/23