Solving systems by graphing/substitution

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

How many solutions will this system have?

• No Solution
• Infinitely Many Solutions
• No Clue
• One solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When solving with substitution, what is the first step?

y = 3 - x

2x - 3y = 21

• 2x - 3(3-x) = 21

• 2(3 - x) - 3y = 21

• (2x - 3y) = 21

• (3-x) = 21

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution
• No solution
• Infinitely Many Solution

Match the following graphs to the systems of equations

• 
• 
• 

Alex graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (-8,-3)
• (8,3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11