Embedded Files
Objectives
Identify solutions of systems of linear equations in two variables.
Solve systems of linear equations in two variables by graphing.
A system of linear equations is a set of two or more linear equations containing two or more variables. A solution of a system of linear equations with two variables is an ordered pair that satisfies each equation in the system. So, if an ordered pair is a solution, it will make both equations true.
Video Tutorial
Check if an ordered pair is a solution to a given system.
Ex(1): Is the ordered pair (4, 1) a solution to the following system?
The solution for example 1 is shown in the slide show to the right. Hover over the image and use the arrows to work through the problem.
Ex(2): Is the ordered pair (–1, 2) a solution to the following system?
The solution for example 2 is shown in the slide show to the right. Try to work this problem out yourself, the check your work with the solution show here.
Solve a Linear System by Graphing
The goal to solving a system of linear of equations is to find a point which both lines have in common, or more simply, find the point of intersection.
Ex(3): Solve the system of equations by graphing, then check your answer.
Example 3 describes how to solve a linear system by graphing. Hover over the images and use the arrows to move through each step.
Solve Word Problems by Graphing
Problem 1: You begin with $90 in your savings account and your friend begins with $35 in her savings account. You deposit $10 in savings each week, and your friend deposits $15 in savings each week.
a. Write and graph a system of linear equations that represent the amounts in each of the savings accounts.
b. How long until you and your friend have the same amount in your savings accounts? How much will be in each account?
[Printable version of Problem #1]
Print the worksheet for problem #1. Then follow along with the video solution. Pause the video as needed and take notes along the way.
Video Solution
Problem 2: The sum of two numbers is 13. The larger of the two numbers is one more than triple the smaller number.
a. Write and graph a system of linear equations that represent the sum of these two numbers.
b. Solve for the two numbers described in this problem.
[Printable version of Problem #2]
Print the worksheet for problem #2. Try to complete problem #2 on your own. If you get stuck then use the video solution to help. Once you've completed the problem check your solution with the answer at the end of the video.
Video Solution
Google Sites
Report abuse