System of 3 equations word problem
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Lesson Summary:
In this lesson, Julie Harland teaches how to solve a word problem using a system of equations with three variables. By defining the variables and writing three equations, she shows how to use the elimination method to solve for the price per pound of apples, berries, and cherries. The lesson demonstrates how to check the validity of the answer by ensuring that the prices calculated make sense in the original problem.
Lesson Description:
A word problem is solved using a system of 3 equations with 3 variables.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you set up and solve a word problem with 3 variables?
- How do you solve a word problem using a system of 3 equations with 3 variables?
- If at a store, Mary pays $34 for 2 pounds of apples, 1 pound of berries, and 4 pounds of cherries; Tom pays $35 for 3 pounds of apples, 2 pounds of berries, and 2 pounds of cherries; and Lee pays $49 for 5 pounds of apples, 3 pounds of berries, and 2 pounds of cherries; what is the price per pound for apples, for berries, and for cherries?
- How can you use the elimination / addition method to solve a word problem involving a system of 3 equations in 3 variables?
- How can you check your solution to a system of 3 equations word problem?
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Staff Review
This video does a great job of setting up a system of 3 equations in 3 variables from a word problem and shows every step involved in solving the system of 3 equations. This type of problem can be pretty involved, and this lesson shows very clearly how to complete each step. If you want to learn better how to solve a system of 3 equations using substitution or elimination, watch the other videos in this lesson series.
