Systems of Equations: Graphing and Substitution

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8
• x=3
• x=11
• x=5

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve:
y = 8x + 2
y = -x - 7

• (1, 10)
• (-1, -6)
• (2, 7)
• (9, 9)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve:
6x + 2y = -20
y = -2x - 4

• (-5, -14)
• (1, 6)
• (-6, 8)
• (2, -8)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve:
y = 4x - 10
y = 3x - 5

• (7 , -15)
• (1, -5)
• (5 , 10)
• (1, 2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11