Solving Systems Using Substitution and Elimination

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

• Substitution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

Solve the system

-4x + 9y = 9

x = 3y - 6

• ( 5, 9 )

• ( -9 , -5 )

• x = 9

• ( 9 , 5 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

2m + 3n = 6

-m + 2n = 5

• n = 2

• ( 2, -1 )

• ( 2 , 1 )

• ( -1, 2 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

y = -x - 4

y = x - 2

• ( -1, -3 )

• No solution

• Infinitely many solutions

• ( 1, 3 )

Tags

CCSS.8.EE.C.8B

Solve the system

-2x + 2y = 9

y = 2x + 6

• ( -2/3, -3 )

• ( -3/2 , 3 )

• ( 1/2, 3 )

• ( -3/2, -3 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

-4x - 2y = -12

4x + 8y = -24

• 6

• ( 6 , -6 )

• ( -6 , 6 )

• ( 3 , -3 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

4x + 5y = 5

x = -10y + 3

• ( 1 , 5 )

• ( 0.2 , 1 )

• No Solution

• ( 1 , 1/5 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6