What is 11x+15y+23=7,x-2y-20=0 ?

The solution to 11x+15y+23=7,x-2y-20=0 is x= 268/37 ,y=-236/37

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11x+15y+23=7,x-2y-20=0

11 x + 15 y + 23 = 7, x - 2 y - 20 = 0

x = \frac{268}{37}, y = - \frac{236}{37}

Solution steps

[11 x + 15 y + 23 = 7 x - 2 y - 20 = 0]

Isolate

x

for

11 x + 15 y + 23 = 7 : x = \frac{- 15 y - 16}{11}

Substitute

x = \frac{- 15 y - 16}{11}

[\frac{- 15 y - 16}{11} - 2 y - 20 = 0]

Simplify

[\frac{- 37 y - 16}{11} - 20 = 0]

Isolate

y

for

\frac{- 37 y - 16}{11} - 20 = 0 : y = - \frac{236}{37}

For

x = \frac{- 15 y - 16}{11}

Substitute

y = - \frac{236}{37}

x = \frac{- 15 ( - \frac{236}{37} ) - 16}{11}

\frac{- 15 ( - \frac{236}{37} ) - 16}{11} = \frac{268}{37}

x = \frac{268}{37}

The solutions to the system of equations are:

x = \frac{268}{37}, y = - \frac{236}{37}

2 x + 5 y = - 1, 3 x - y = 7

41 x + 37 y = 77, 47 x + 51 y = 99

x - 2 y = 8, 2 x + y = 6

3 x + 2 y = - 1, 5 x + y = 4

2 x + 3 y = 2, - 5 x + 12 y = 1

What is 11x+15y+23=7,x-2y-20=0 ?
The solution to 11x+15y+23=7,x-2y-20=0 is x= 268/37 ,y=-236/37