What is 3x+8y=89,-5x-2y=-1 ?

The solution to 3x+8y=89,-5x-2y=-1 is x=-5,y=13

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3x+8y=89,-5x-2y=-1

3 x + 8 y = 89, - 5 x - 2 y = - 1

x = - 5, y = 13

Solution steps

[3 x + 8 y = 89 - 5 x - 2 y = - 1]

Isolate

x

for

3 x + 8 y = 89 : x = \frac{89 - 8 y}{3}

Substitute

x = \frac{89 - 8 y}{3}

[- 5 \cdot \frac{89 - 8 y}{3} - 2 y = - 1]

Simplify

[\frac{- 445 + 34 y}{3} = - 1]

Isolate

y

for

\frac{- 445 + 34 y}{3} = - 1 : y = 13

For

x = \frac{89 - 8 y}{3}

Substitute

y = 13

x = \frac{89 - 8 \cdot 13}{3}

\frac{89 - 8 \cdot 13}{3} = - 5

x = - 5

The solutions to the system of equations are:

x = - 5, y = 13

\frac{x}{5} - \frac{y}{2} = 1, 0.32 x - y = 1

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

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

x + 2 y = 10, 3 x + 4 y = 22

x + y = 6, x - y = 8