What is 2x+y=1,8x-3y=-33 ?

The solution to 2x+y=1,8x-3y=-33 is x=-15/7 ,y= 37/7

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2x+y=1,8x-3y=-33

2 x + y = 1, 8 x - 3 y = - 33

x = - \frac{15}{7}, y = \frac{37}{7}

Solution steps

[2 x + y = 1 8 x - 3 y = - 33]

Isolate

x

for

2 x + y = 1 : x = \frac{1 - y}{2}

Substitute

x = \frac{1 - y}{2}

[8 \cdot \frac{1 - y}{2} - 3 y = - 33]

Simplify

[- 7 y + 4 = - 33]

Isolate

y

for

- 7 y + 4 = - 33 : y = \frac{37}{7}

For

x = \frac{1 - y}{2}

Substitute

y = \frac{37}{7}

x = \frac{1 - \frac{37}{7}}{2}

\frac{1 - \frac{37}{7}}{2} = - \frac{15}{7}

x = - \frac{15}{7}

The solutions to the system of equations are:

x = - \frac{15}{7}, y = \frac{37}{7}

3 x + 2 y = 28, 4 x - 2 y = 0

2 (x - y + 5) = x - 2, 2 x - y = 6

7 x - 15 y = 1, - x + 6 y = 8

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

5 x + 3 y = 11, 4 x + 2 y = 8