What is -6x+3y=1,8-5x-2y=-3 ?

The solution to -6x+3y=1,8-5x-2y=-3 is x= 31/27 ,y= 71/27

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-6x+3y=1,8-5x-2y=-3

- 6 x + 3 y = 1, 8 - 5 x - 2 y = - 3

x = \frac{31}{27}, y = \frac{71}{27}

Solution steps

[- 6 x + 3 y = 1 8 - 5 x - 2 y = - 3]

Isolate

x

for

- 6 x + 3 y = 1 : x = - \frac{1 - 3 y}{6}

Substitute

x = - \frac{1 - 3 y}{6}

[8 - 5 (- \frac{1 - 3 y}{6}) - 2 y = - 3]

Simplify

[\frac{5 - 27 y}{6} + 8 = - 3]

Isolate

y

for

\frac{5 - 27 y}{6} + 8 = - 3 : y = \frac{71}{27}

For

x = - \frac{1 - 3 y}{6}

Substitute

y = \frac{71}{27}

x = - \frac{1 - 3 \cdot \frac{71}{27}}{6}

- \frac{1 - 3 \cdot \frac{71}{27}}{6} = \frac{31}{27}

x = \frac{31}{27}

The solutions to the system of equations are:

x = \frac{31}{27}, y = \frac{71}{27}

3 x + 6 y = 39, 0 x + 3 y = 1300

(a) x + 2 y + 3 z = 4, - x + 4 y - 5 z = - 2 x, 2 x - 3 y + 4 z = 27

7 x - 4 y = 1, 7 x - 2 y = 53

x + y = 3, x + z = 4, y + z = - 3

x - (- 2) y + 11 = 3, x - 6 y + 33 = 0

What is -6x+3y=1,8-5x-2y=-3 ?
The solution to -6x+3y=1,8-5x-2y=-3 is x= 31/27 ,y= 71/27