Systems of Linear Equations

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions does this system of equations have?

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

Tags

CCSS.8.EE.C.8B

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

This system has _____ solutions

• none

• 1

• 2

• Infinitely many

What is the solution to this system of linear equations?

y - 3x = 0 and

y = 3x

• The only solution is (0, 3).

• There is no solution.

• The only solution is (0, 0).

• There are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• ( $\frac{1}{2}$ , 2)

• no solution

Solve for x and y

3x + 2y = 16

3x + 2y = 19

• (-2,5)

• no solution

• infinite solutions

• (2,5)

Solve using substitution.

x - 2y = 2

2x + 4y = 4

• (2,0)

• (1, 5)

• (-5, 3)

• (0,2)

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6