What is 5x-3y=-16,5x+3y=2 ?

The solution to 5x-3y=-16,5x+3y=2 is x=-7/5 ,y=3

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

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

x = - \frac{7}{5}, y = 3

Solution steps

[5 x - 3 y = - 16 5 x + 3 y = 2]

Isolate

x

for

5 x - 3 y = - 16 : x = \frac{- 16 + 3 y}{5}

Substitute

x = \frac{- 16 + 3 y}{5}

[5 \cdot \frac{- 16 + 3 y}{5} + 3 y = 2]

Simplify

[- 16 + 6 y = 2]

Isolate

y

for

- 16 + 6 y = 2 : y = 3

For

x = \frac{- 16 + 3 y}{5}

Substitute

y = 3

x = \frac{- 16 + 3 \cdot 3}{5}

\frac{- 16 + 3 \cdot 3}{5} = - \frac{7}{5}

x = - \frac{7}{5}

The solutions to the system of equations are:

x = - \frac{7}{5}, y = 3

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

2 x - y = 6, x - y = 2

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

x + 2 y = 1, 2 x + 4 y = 3

2 x + 3 y = 1, 3 x + 2 y = 4