System of Equations Graphing Number of Solutions

y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

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

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

0 = 0

• 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

Give the solution to the system

• (3,1)

• (1,3)

• (-1,3)

• No solution

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)