Solving System of Equations by Graphing

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

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

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

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
• same lines

What is the solution to this system? 

• (3,1)
• No solution
• Infinite solutions
• (1,3)

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

If the solution is infinitely many the lines will ________?

• intersect at exactly one point
• be parallel
• overlap each other
• never exist

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

• One Solution
• No solution
• Infinitely Many Solutions