What is -x+5y=31,3x-y=9 ?

The solution to -x+5y=31,3x-y=9 is x= 38/7 ,y= 51/7

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-x+5y=31,3x-y=9

- x + 5 y = 31, 3 x - y = 9

x = \frac{38}{7}, y = \frac{51}{7}

Solution steps

[- x + 5 y = 31 3 x - y = 9]

Isolate

x

for

- x + 5 y = 31 : x = - 31 + 5 y

Substitute

x = - 31 + 5 y

[3 (- 31 + 5 y) - y = 9]

Simplify

[- 93 + 14 y = 9]

Isolate

y

for

- 93 + 14 y = 9 : y = \frac{51}{7}

For

x = - 31 + 5 y

Substitute

y = \frac{51}{7}

x = - 31 + 5 \cdot \frac{51}{7}

- 31 + 5 \cdot \frac{51}{7} = \frac{38}{7}

x = \frac{38}{7}

The solutions to the system of equations are:

x = \frac{38}{7}, y = \frac{51}{7}

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

2 x + 3 y = 1, 5 x + 3 y = 16

3 x - 4 y = - 2, - 4 y - 3 x = 101

4 x - y = - 9, 2 x + 2 y = - 2

15 x - 5 - 5 (2 x) = 40, 15 x - 5 - 5 (2 x) = 40