What is 5x+3y=-1,-3x+4y=-24 ?

The solution to 5x+3y=-1,-3x+4y=-24 is x= 68/29 ,y=-123/29

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5x+3y=-1,-3x+4y=-24

5 x + 3 y = - 1, - 3 x + 4 y = - 24

x = \frac{68}{29}, y = - \frac{123}{29}

Solution steps

[5 x + 3 y = - 1 - 3 x + 4 y = - 24]

Isolate

x

for

5 x + 3 y = - 1 : x = \frac{- 1 - 3 y}{5}

Substitute

x = \frac{- 1 - 3 y}{5}

[- 3 \cdot \frac{- 1 - 3 y}{5} + 4 y = - 24]

Simplify

[\frac{3 + 29 y}{5} = - 24]

Isolate

y

for

\frac{3 + 29 y}{5} = - 24 : y = - \frac{123}{29}

For

x = \frac{- 1 - 3 y}{5}

Substitute

y = - \frac{123}{29}

x = \frac{- 1 - 3 ( - \frac{123}{29} )}{5}

\frac{- 1 - 3 ( - \frac{123}{29} )}{5} = \frac{68}{29}

x = \frac{68}{29}

The solutions to the system of equations are:

x = \frac{68}{29}, y = - \frac{123}{29}

\frac{4}{x} + \frac{3}{y} = 1, \frac{6}{x} - \frac{16}{y} = 8

3 x - y = 20, 6 x + 3 y = 60

15 x + 11 y = 3, 2 - 9 x + 7 y = 8

(b) a = (- 10), b = 1, c = 1

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

What is 5x+3y=-1,-3x+4y=-24 ?
The solution to 5x+3y=-1,-3x+4y=-24 is x= 68/29 ,y=-123/29