Linear Systems Elimination and Substitution Review

What is the best method do you use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is defined

• Elimination because both equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the proper way to set up the equation to begin solving?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the proper set up to solve the equation?

-7x -2y= -13

x = 2y+11

• -7(11) -2y = -13

• -7(2y +11)-2y = -13

• -7x -2(11) =-13

• -7x - 2(2y+11)= -13

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Tags

CCSS.HSA.REI.C.9

Solve using elimination.
 2x + 3y = 12
-2x + 2y = 18

• (-3, 6)
• (15, -6)
• no solution
• infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve using elimination.
-4x - 2y = -12
 4x + 8y = -24

• (6, -6)
• (-6, 6)
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

Solve the system by substitution.
y = x + 5
4x + y = 20

• (3,8)
• (8,3)
• (0,2)
• (2,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6