What is x-3y=5,7x-8y=6 ?

The solution to x-3y=5,7x-8y=6 is x=-22/13 ,y=-29/13

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x-3y=5,7x-8y=6

x - 3 y = 5, 7 x - 8 y = 6

x = - \frac{22}{13}, y = - \frac{29}{13}

Solution steps

[x - 3 y = 5 7 x - 8 y = 6]

Isolate

x

for

x - 3 y = 5 : x = 5 + 3 y

Substitute

x = 5 + 3 y

[7 (5 + 3 y) - 8 y = 6]

Simplify

[35 + 13 y = 6]

Isolate

y

for

35 + 13 y = 6 : y = - \frac{29}{13}

For

x = 5 + 3 y

Substitute

y = - \frac{29}{13}

x = 5 + 3 (- \frac{29}{13})

5 + 3 (- \frac{29}{13}) = - \frac{22}{13}

x = - \frac{22}{13}

The solutions to the system of equations are:

x = - \frac{22}{13}, y = - \frac{29}{13}

5 x + 3 y = 35, 2 x + 4 y = 28

- x + y = - 1, 5 x - 3 y = - 1

x + 3 y = 1, x = 3

3 x + 2 y = 19, 5 x - y = 18

8 x + 10 y = 10, - 4 x - 10 y = - 7