What is 5x+2y=-34,4x-3y=-41 ?

The solution to 5x+2y=-34,4x-3y=-41 is x=-8,y=3

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5x+2y=-34,4x-3y=-41

5 x + 2 y = - 34, 4 x - 3 y = - 41

x = - 8, y = 3

Solution steps

[5 x + 2 y = - 34 4 x - 3 y = - 41]

Isolate

x

for

5 x + 2 y = - 34 : x = \frac{- 34 - 2 y}{5}

Substitute

x = \frac{- 34 - 2 y}{5}

[4 \cdot \frac{- 34 - 2 y}{5} - 3 y = - 41]

Simplify

[\frac{- 136 - 23 y}{5} = - 41]

Isolate

y

for

\frac{- 136 - 23 y}{5} = - 41 : y = 3

For

x = \frac{- 34 - 2 y}{5}

Substitute

y = 3

x = \frac{- 34 - 2 \cdot 3}{5}

\frac{- 34 - 2 \cdot 3}{5} = - 8

x = - 8

The solutions to the system of equations are:

x = - 8, y = 3

x - 7 - 3 x - 2 y = - 12, y = 5

5 (y + 2) x = 125 y, x = 7

\frac{1}{x} + \frac{1}{y} = 1, \frac{2}{x} - \frac{3}{y} = - 13

- 10 x - 2 y = 12, - 7 x - 4 y = - 15

2 x + 3 y = 25, 4 x - y = 15