Solving Systems of Linear Equations

Which method would be best (quickest) for solving the system below:

x + y = 11

3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

x + y = 19

y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

When does a system of equations have no solutions?

• When the lines cross

• When slopes of the lines are different

• When the slopes are the same

• There is ALWAYS a solution sir!

Tags

CCSS.8.EE.C.8B

Solve the system:

3x + y = 19

2x - y = 6

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

x + 6y = 17

x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

2x + 3y = -2

3x - 2y = 23

• (5, -4)

• (-4, 5)

• (-5, 4)

• infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

4x+9y=28

-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

-9x-4y=-20

5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

4x + 8y = 20

−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6