Solving Systems of Equations with Graphing Substitution

Solve for x and y.
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

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

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

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

Which of these is not a method for solving a system of equations?

• Graphing

• Substitution

• Elimination

• Hoping

An ordered pair in a system that makes all equations true is

• consistent system

• system of linear equations

• solution of a system to linear equations

• independent system

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions