What is 5x-4y=-13,5x+4y=7 ?

The solution to 5x-4y=-13,5x+4y=7 is x=-3/5 ,y= 5/2

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5x-4y=-13,5x+4y=7

5 x - 4 y = - 13, 5 x + 4 y = 7

x = - \frac{3}{5}, y = \frac{5}{2}

Solution steps

[5 x - 4 y = - 13 5 x + 4 y = 7]

Isolate

x

for

5 x - 4 y = - 13 : x = \frac{- 13 + 4 y}{5}

Substitute

x = \frac{- 13 + 4 y}{5}

[5 \cdot \frac{- 13 + 4 y}{5} + 4 y = 7]

Simplify

[- 13 + 8 y = 7]

Isolate

y

for

- 13 + 8 y = 7 : y = \frac{5}{2}

For

x = \frac{- 13 + 4 y}{5}

Substitute

y = \frac{5}{2}

x = \frac{- 13 + 4 \cdot \frac{5}{2}}{5}

\frac{- 13 + 4 \cdot \frac{5}{2}}{5} = - \frac{3}{5}

x = - \frac{3}{5}

The solutions to the system of equations are:

x = - \frac{3}{5}, y = \frac{5}{2}

x + 15 y = 3, 1 x - 2 y = - 3

5 x - 2 y = 17, 8 x + 5 y = 19

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

2 x - 7 y = 39, 3 x + 5 y = 31

8 x - 5 y = - 21, 7 y + 4 x = - 1