What is -7x+6y=-2,9x+3y=8 ?

The solution to -7x+6y=-2,9x+3y=8 is x= 18/25 ,y= 38/75

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-7x+6y=-2,9x+3y=8

- 7 x + 6 y = - 2, 9 x + 3 y = 8

x = \frac{18}{25}, y = \frac{38}{75}

Solution steps

[- 7 x + 6 y = - 2 9 x + 3 y = 8]

Isolate

x

for

- 7 x + 6 y = - 2 : x = - \frac{- 2 - 6 y}{7}

Substitute

x = - \frac{- 2 - 6 y}{7}

[9 (- \frac{- 2 - 6 y}{7}) + 3 y = 8]

Simplify

[\frac{18 + 75 y}{7} = 8]

Isolate

y

for

\frac{18 + 75 y}{7} = 8 : y = \frac{38}{75}

For

x = - \frac{- 2 - 6 y}{7}

Substitute

y = \frac{38}{75}

x = - \frac{- 2 - 6 \cdot \frac{38}{75}}{7}

- \frac{- 2 - 6 \cdot \frac{38}{75}}{7} = \frac{18}{25}

x = \frac{18}{25}

The solutions to the system of equations are:

x = \frac{18}{25}, y = \frac{38}{75}

x - y = 2, 3 x + 4 y = 27

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

x - y + 3 = 2, x + 3 y - 4 = 0

x + y = 4, x - y = 8

32 a + 6 b = 27 + 9, - 2 a - 7 b = 9

What is -7x+6y=-2,9x+3y=8 ?
The solution to -7x+6y=-2,9x+3y=8 is x= 18/25 ,y= 38/75