Solving Systems

 $2x-y=4$   $y=-2x+8$  

Use Substitution to find the value of x.

• x=8

• x=3

• x=11

• x=5

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Use Substitution to determine if this system has a solution or not.

 $8x+4y=12\ \ \ and\ \ \ \ y\ =\ -2x+3$  

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to this system of equations?

• Infinite Solutions
• One Solution
• No Solution
• (0, 0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to this system of equations?

• (2, -3)
• (-2, 3)
• (-3, 2)
• (3, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If  $y=1$  in this system, determine the solution
Hint: plug the numbers into both equations

 $y=-x+5$   $y=2x-7$  

• no solution

• (-4, 1)

• (4, 1)

• (1, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

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