What is 5x+3y=71,7x-y=7 ?

The solution to 5x+3y=71,7x-y=7 is x= 46/13 ,y= 231/13

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5x+3y=71,7x-y=7

5 x + 3 y = 71, 7 x - y = 7

x = \frac{46}{13}, y = \frac{231}{13}

Solution steps

[5 x + 3 y = 71 7 x - y = 7]

Isolate

x

for

5 x + 3 y = 71 : x = \frac{71 - 3 y}{5}

Substitute

x = \frac{71 - 3 y}{5}

[7 \cdot \frac{71 - 3 y}{5} - y = 7]

Simplify

[\frac{497 - 26 y}{5} = 7]

Isolate

y

for

\frac{497 - 26 y}{5} = 7 : y = \frac{231}{13}

For

x = \frac{71 - 3 y}{5}

Substitute

y = \frac{231}{13}

x = \frac{71 - 3 \cdot \frac{231}{13}}{5}

\frac{71 - 3 \cdot \frac{231}{13}}{5} = \frac{46}{13}

x = \frac{46}{13}

The solutions to the system of equations are:

x = \frac{46}{13}, y = \frac{231}{13}

2 x + 3 y = - 13, - 5 x - 2 y = 16

- 5 x + 9 y = - 13, 3 x - 7 y = 11

67 x + 108 y = - 41, 7108 x + 67 y = - 458

6 y - 8 x = 1, 5 x - 2 y = \frac{1}{4}

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

What is 5x+3y=71,7x-y=7 ?
The solution to 5x+3y=71,7x-y=7 is x= 46/13 ,y= 231/13