What is 3x+y=-17,5x+2y=-29 ?

The solution to 3x+y=-17,5x+2y=-29 is x=-5,y=-2

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3x+y=-17,5x+2y=-29

3 x + y = - 17, 5 x + 2 y = - 29

x = - 5, y = - 2

Solution steps

[3 x + y = - 17 5 x + 2 y = - 29]

Isolate

x

for

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

Substitute

x = \frac{- 17 - y}{3}

[5 \cdot \frac{- 17 - y}{3} + 2 y = - 29]

Simplify

[\frac{- 85 + y}{3} = - 29]

Isolate

y

for

\frac{- 85 + y}{3} = - 29 : y = - 2

For

x = \frac{- 17 - y}{3}

Substitute

y = - 2

x = \frac{- 17 - ( - 2 )}{3}

\frac{- 17 - ( - 2 )}{3} = - 5

x = - 5

The solutions to the system of equations are:

x = - 5, y = - 2

3 x - 2 y = 5, \frac{( 2 x )}{3} + \frac{y}{2} = - \frac{7}{9}

y = \frac{5}{7}, x = 1

2 x + y - 3 z = 4, x + 2 y - 6 z = 0, x - y + z = 0

5 x - 3 y = - 5, 2 x + 4 y = 24

7 x + 8 y = \frac{1}{2}, 4 x + 12 y = \frac{29}{56}