What is 5x+3y+17=4,x+y+15=0 ?

The solution to 5x+3y+17=4,x+y+15=0 is x=16,y=-31

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5x+3y+17=4,x+y+15=0

5 x + 3 y + 17 = 4, x + y + 15 = 0

x = 16, y = - 31

Solution steps

[5 x + 3 y + 17 = 4 x + y + 15 = 0]

Isolate

x

for

5 x + 3 y + 17 = 4 : x = \frac{- 3 y - 13}{5}

Substitute

x = \frac{- 3 y - 13}{5}

[\frac{- 3 y - 13}{5} + y + 15 = 0]

Simplify

[\frac{2 y - 13}{5} + 15 = 0]

Isolate

y

for

\frac{2 y - 13}{5} + 15 = 0 : y = - 31

For

x = \frac{- 3 y - 13}{5}

Substitute

y = - 31

x = \frac{- 3 ( - 31 ) - 13}{5}

\frac{- 3 ( - 31 ) - 13}{5} = 16

x = 16

The solutions to the system of equations are:

x = 16, y = - 31

5 x - 8 x = 5, x = 80 x

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

8 x + 6 y = 10, - 3 x + 6 y = - 12

4 x - 7 y = 3, - 2 x - 2 y = - 18

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