Solve Systems by Substitution or Elimination

Solve the solution by substitution:

x = 7 - 2y

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Tags

CCSS.HSA.REI.C.6

Solve the system by substitution:

x - y = 6

y - 2x = - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve by elimination:
-x+2y=17

2x+2y=-10

• ARN
• (-9,4)
• (-9,-4)
• (9,-4)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

What is the solution to the system?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)
• (-3,-9)
• (-3,9)
• (0,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system by elimination.

7x - y = -10

-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -8)

Tags

CCSS.HSA.REI.C.5

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.2

CCSS.HSA.CED.A.3

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

Tags

CCSS.HSA.REI.C.6

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6