Linear Systems Revoew

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

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. 

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution?

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

Solve the following system by setting the two equations equal to each other.  What is the solution?
HINT:  - 1/3x + 4 = 2/3x + 1 and then solve for x.  Once you find x go back and find y.

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

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

• Elimination
• Difference of Squares
• Substitution
• Graphing

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

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

• Parallel lines
• the same line 
• Intersecting lines