What is -17x+13y=43,13x-17y=-47 ?

The solution to -17x+13y=43,13x-17y=-47 is x=-1,y=2

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-17x+13y=43,13x-17y=-47

- 17 x + 13 y = 43, 13 x - 17 y = - 47

x = - 1, y = 2

Solution steps

[- 17 x + 13 y = 43 13 x - 17 y = - 47]

Isolate

x

for

- 17 x + 13 y = 43 : x = - \frac{43 - 13 y}{17}

Substitute

x = - \frac{43 - 13 y}{17}

[13 (- \frac{43 - 13 y}{17}) - 17 y = - 47]

Simplify

[\frac{- 559 - 120 y}{17} = - 47]

Isolate

y

for

\frac{- 559 - 120 y}{17} = - 47 : y = 2

For

x = - \frac{43 - 13 y}{17}

Substitute

y = 2

x = - \frac{43 - 13 \cdot 2}{17}

Simplify

x = - 1

The solutions to the system of equations are:

x = - 1, y = 2

5 x + 7 y = 1, 6 \cdot 3 x + 8 y = 12

2 x + 3 y = 12, 2 x = 3 y

x = y + 5, x + y = 31

9 x - 7 y = - 52, 5 x + 3 y = - 22

3 x - y = 14, 2 y = 12

What is -17x+13y=43,13x-17y=-47 ?
The solution to -17x+13y=43,13x-17y=-47 is x=-1,y=2