What is 2x+7y=1,1x-3y=-3 ?

The solution to 2x+7y=1,1x-3y=-3 is x=-18/13 ,y= 7/13

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2x+7y=1,1x-3y=-3

2 x + 7 y = 1, 1 x - 3 y = - 3

x = - \frac{18}{13}, y = \frac{7}{13}

Solution steps

[2 x + 7 y = 1 1 \cdot x - 3 y = - 3]

Isolate

x

for

2 x + 7 y = 1 : x = \frac{1 - 7 y}{2}

Substitute

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

[1 \cdot \frac{1 - 7 y}{2} - 3 y = - 3]

Simplify

[\frac{1 - 13 y}{2} = - 3]

Isolate

y

for

\frac{1 - 13 y}{2} = - 3 : y = \frac{7}{13}

For

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

Substitute

y = \frac{7}{13}

x = \frac{1 - 7 \cdot \frac{7}{13}}{2}

\frac{1 - 7 \cdot \frac{7}{13}}{2} = - \frac{18}{13}

x = - \frac{18}{13}

The solutions to the system of equations are:

x = - \frac{18}{13}, y = \frac{7}{13}

3 q + 2 q = 21, 7 p + 4 q = 47

4 x + y = 7, 2 x - y = 12

2 x + y = 19, 2 x - 3 y = - 3

3 x - 5 y - 6 = 2, x + 3 y - 6 = 0

2 x + 3 y = 32, 11 y - 9 x = 3

What is 2x+7y=1,1x-3y=-3 ?
The solution to 2x+7y=1,1x-3y=-3 is x=-18/13 ,y= 7/13