Systems: Graphing and Substitution Checkpoint

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

What is the solution?

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

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)
• (5,4)
• (4,5)
• (2,-1)

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

• Parallel lines
• the same line 
• Intersecting lines

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Solve the system of equations by substitution:

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Which term best describes the two lines represented by the equations below?

 $y=\frac{4}{3}x-5$  

 $y=\frac{4}{3}x+3$  

• the same line

• parallel

• intersecting

• perpendicular

Solve:
y = 8x + 2
y = -x - 7

• (1, 10)
• (-1, -6)
• (2, 7)
• (9, 9)

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

• One Solution
• No solution
• Infinitely Many Solutions