Graphing System of Equations One Solution

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

x=5

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

What is true when solving systems of equations by graphing?

• A set of two linear equations can have two answers

• You don't need to give the ordered pair

• The solution is where the two lines intersect

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

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

• Infinitely Many Solutions
• No Solution

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

• Run off the graph

• Don't touch

• Intersect

• Exist

What is the solution to the following system of equations?

• ( 3 , -1 )

• ( 7 , 7 )

• ( -1 , 3 )

• ( 1 , 1 )

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)