Algebraic Equations Substitution

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.8.EE.C.8A

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.8.EE.C.8A

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

Based on the equations for each line, determine how many solutions the system would have.

y = 2x + 3

y = -4x + 3

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y = 5x + 3

y = 5x - 2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Billy is solving this system by substitution. Which is the correct first step of his work?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Dana wants to solve the system using Substitution. Which is the correct first step?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (1, 5)

• (5, 1)

• (0.25, 2)

• No Solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6