3 Linear Systems

What is the solution of the following system of equations?

−2x+y−z=−8

2x+2y−z=−3

x−y+2z=7

• -3,1,2

• 1,2,-3

• -3,2,1

• 2,-3,1

Classify the system. Then find the solution to the system

y=4x−6

y=2/3x+4

• dependent x= all reall numbers

• inconsistent x has no solution

• independent (-3,6)

• independent (3,6)

Then find the solution to the system using a graph.

y=-4x−3

y=−4x+7

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Solve the system

8x+y=17

x+4y=37

• (5, 8)

• (9,7)

• (13, 6)

• (1, 9)

Solve the system

a+b=1/3

a−b=1/4

• (1/12,1/4)

• (5/12, -1/12)

• (7/24, 1/24)

• no solutioin

Solve the system

x+y=−1/12

4x−6y=3

• (1/4,-1/3)

• (-1/4,1/3)

• (1/3,-1/4)

• (1/4,1/3)

Graph the solution of the system.

y>|x−4|

y<1/3x

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• 
• 

Solve the system.

x +y +z = 10

2x −y +z = 2

−x +2y −z = 5

• no solution

• (3, 6, 1)

• (2, 4, 4)

• (2, 5, 3)

Solve the system.

x+2y+z=14

y=z+1

x=−3z+6

• no solution

• (2, 2, 1)

• (−3, 4, 3)

• (3,-1,1)

Solve the system.

3x+y−2z=22

x+5y+z=4

x=−3z

• no solution

• (6, 3, −2)

• (6, 0, −2)

• (−3, 2, 1)