Systems of Equations: Graphing, Substitution, Elimination

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8A

When does a system of equations have no solutions?

• When the lines cross
• When slopes of the lines are different
• When the slopes are the same
• There is ALWAYS a solution sir!

Tags

CCSS.8.EE.C.8B

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
2x - 5y = 12
y = -2

• y = -2
• (11, -2)
• (1, -2)
• no solution

Tags

CCSS.HSA.REI.C.9

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

Tags

CCSS.8.EE.C.8B

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.HSF-IF.C.7A

Determine how many solutions the system has.

• One Solution
• No Solutions
• Infinitely Many Solutions
• Mikey is my friend.

Tags

CCSS.8.EE.C.8B

Determine how many solutions the system has.
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions
• I am Spartacus!

Tags

CCSS.8.EE.C.8A

Which of the following is NOT a method to solve systems?

• Elimination
• Distribution
• Substitution
• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6