What is 9x-7y=-52,5x+3y=-22 ?

The solution to 9x-7y=-52,5x+3y=-22 is x=-5,y=1

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9x-7y=-52,5x+3y=-22

9 x - 7 y = - 52, 5 x + 3 y = - 22

x = - 5, y = 1

Solution steps

[9 x - 7 y = - 52 5 x + 3 y = - 22]

Isolate

x

for

9 x - 7 y = - 52 : x = \frac{- 52 + 7 y}{9}

Substitute

x = \frac{- 52 + 7 y}{9}

[5 \cdot \frac{- 52 + 7 y}{9} + 3 y = - 22]

Simplify

[\frac{- 260 + 62 y}{9} = - 22]

Isolate

y

for

\frac{- 260 + 62 y}{9} = - 22 : y = 1

For

x = \frac{- 52 + 7 y}{9}

Substitute

y = 1

x = \frac{- 52 + 7 \cdot 1}{9}

\frac{- 52 + 7 \cdot 1}{9} = - 5

x = - 5

The solutions to the system of equations are:

x = - 5, y = 1

3 x - y = 14, 2 y = 12

4 x = 3, 3 x - y = - 6

\frac{2}{3} + \frac{25}{6} b = \frac{3}{5} + \frac{4}{11}, a = 3

x - 2 y = 3, 3 x - 5 y = 11

x + y = 7, x - y = - 1