Systems of Equations Basics

What is the best method to use?

y = −3x + 5

5x − 4y = −3

• Graphing

• Substitution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best method to use?

4x + 8y = 20

−4x + 2y = −30

• Graphing

• Substitution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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

Which variable is easiest to eliminate? 4x + 8y = 20 −4x + 2y = −30

• x

• y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• -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

Which variable is easiest to eliminate?

7x + 2y = 24

8x + 2y = 30

• x

• y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which variable is easiest to eliminate?

5x + 9y = 24

3x + 3y = 30

• x

• y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using substitution method.

y = 6x - 11

-2x - 3y = -7

• (1,2)

• (2,1)

• x = 1 and y = 2

• x = 2 and y = 1

• None of the above

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

This system has _____ solutions

(Hint: Both lines are graphed over each other)

• 1

• 2

• Infinitely Many

• no

Tags

CCSS.8.EE.C.8A

This system has _____ solutions

• 1

• 2

• Infinitely many

• no

Tags

CCSS.8.EE.C.8A