Solving Systems of Equations

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

How many solutions are there in the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

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

• intersecting lines
• parallel lines
• skew lines
• the same line (lines on top of eachother)

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• the same line (lines on top of eachother)

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

• one solution
• no solution
• infinitely many solutions

What is the type of solution to the system of equations?
y = -2x - 7
y = -2x + 8

• one solution
• no solution
• infinitely many solutions

What is the type of solution to the system of equations?
y = -x -6
y = 2x + 6

• one solution
• no solution
• infinitely many solutions
• none of the above

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

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

x - 3y = -13
4x + 2y = 4

• (1, 4)
• (-1, -4)
• (-1, 4)
• (1, -4)