Solving System of Equations

Solve the system of equations for x and y (methods: Substitution or Elimination)

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

4x=8

6y=-3x+6

What point do these two lines intersect?

• x=2

• (2,0)

• y=0

• (0,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
y = 5
-6x+3y = 3

• (4,1)

• (2, 1)

• (1, 5)

• (2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations:

• (0,3)

• (0,3)

• (3,0)

• (0,-3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve

y = −8x

y = 6x − 14

• (8, −8)

• (-1, −8)

• (1, −8)

• (-1, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which is the new equation after using the substitution process

• -3(5x - 7) - 2y= -12

• -3x - 2(5x-7) = -12

• -3x -2y = 12(5x-7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5x + y = 9
10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which is the best method to use?

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which system has NO solution?

• A.

• B.

• C.

• D.

Tags

CCSS.8.EE.C.8B