Solving Two Systems of Equations

Solve the following system algebraically

x + y = 4

-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system algebraically

x + 2y = -3

x - y = -12

• (9, -5)

• (-7, 5)

• (3, 15)

• (-9, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x in the solution to the system of equations below?

6x + 3y = 33

3x - y = 4

• 1

• 5

• 3

• none of these

Tags

CCSS.HSA.REI.C.9

Solve the system by graphing

y = x - 1

2x + y = 8

• (-2, -3)

• (3, 2)

• (2, 3)

• (-3, -2)

Tags

CCSS.8.EE.C.8B

Solve for x and y
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 of equations.

y = -4x + 5

y = 3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50

• d + c = 50
  4d + 2c = 174

• d + c = 50
  2d + 4c = 174

• d + c = 174
  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6