Create Systems of Equations

Solve by elimination
4x-6y= -6
-2x-12y= -12

• (0,1) 

• (1,0)

• (1,1)

• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system using Multiplication. 
2x + 3y = 12
5x - y = 13

• x = -3, y = -2

• x = 1.5, y = 2

• x = 6, y = 0

• x = 3, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by multiplication.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
4x+4y=4

3x+4y=10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
9x-4y=7

x-4y=-17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Solve the system of equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The freshman class is planning a field trip. The class can either visit the aviation museum or the local arboretum. At the aviation museum, tickets cost $19 each, plus a flat rate of $46 for parking all the buses. At the arboretum, tickets cost $10 each, plus a flat rate of $66 for parking all the buses.

Let x represent the number of people going on the field trip, and let y represent the total cost of the field trip. Which system of equations could be used to find how many people can go on either field trip so that both field trips have the same cost?

• y = 19x + 10

  y = 46x + 66

• y = 10x + 46

  y = 19x + 66

• y = 19x + 46

  y = 10x + 66

• y = 46x + 19

  y = 66x + 10

Tags

CCSS.8.EE.C.8C