Solving Systems of Linear Equations

How many solutions will this system have?

• No Solution
• Infinitely Many Solutions
• Two Solutions

• One solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• No solution

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• Parallel Lines

• Same Line 

• Intersecting Lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting Lines

• Same Line

• Parallel Lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

5x - 4y  =-16
x+ 2y = -6

• (-4,-1)
• (5,-1)
• (-5,-1)
• (4,1)

Tags

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

• (8, -1)

• (-28, 8)

• (-1, 8)

• (8, -28)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Tags

CCSS.HSA.REI.C.6

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.HSA.REI.C.6

What does it mean if a system of linear equations has no solution?

• Parallel Lines

• Same Line

• Intersecting Lines