Solving Systems of Equations (Graphing/Substitution)

Solve the system by subsitution.

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

This system has _____ solution(s)

• no

• 1

• 2

• Infinitely many

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.8.EE.C.8A

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

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

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

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Tags

CCSS.8.EE.C.8B