What is 5x+7y=1,-3x+4y=-2y ?

The solution to 5x+7y=1,-3x+4y=-2y is x= 2/17 ,y= 1/17

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5x+7y=1,-3x+4y=-2y

5 x + 7 y = 1, - 3 x + 4 y = - 2 y

x = \frac{2}{17}, y = \frac{1}{17}

Solution steps

[5 x + 7 y = 1 - 3 x + 4 y = - 2 y]

Isolate

x

for

5 x + 7 y = 1 : x = \frac{1 - 7 y}{5}

Substitute

x = \frac{1 - 7 y}{5}

[- 3 \cdot \frac{1 - 7 y}{5} + 4 y = - 2 y]

Simplify

[\frac{- 3 + 41 y}{5} = - 2 y]

Isolate

y

for

\frac{- 3 + 41 y}{5} = - 2 y : y = \frac{1}{17}

For

x = \frac{1 - 7 y}{5}

Substitute

y = \frac{1}{17}

x = \frac{1 - 7 \cdot \frac{1}{17}}{5}

\frac{1 - 7 \cdot \frac{1}{17}}{5} = \frac{2}{17}

x = \frac{2}{17}

The solutions to the system of equations are:

x = \frac{2}{17}, y = \frac{1}{17}

y d^{3} x + 5 y = 55, x = 2

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

4 x + 2 y = - 8, - x - 0.5 y = 2

2 x + 3 y = 1, 6 x - y = 3

11 x - 9 y = 21, 3 x - 15 y = - 2

What is 5x+7y=1,-3x+4y=-2y ?
The solution to 5x+7y=1,-3x+4y=-2y is x= 2/17 ,y= 1/17