# Systems of equations three variables

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Curipod generated lesson: "Systems of equations three variables". #11-13

1. Drawings
410 seconds
GRAPH THE SYSTEM TO SOLVE
2. Open question
180 seconds
What is a system of equations?
3. Open question
210 seconds
Why is the ordered pair (1,1) a solution to the equation y = x ?
4. Poll
20 seconds
What is the equation that matches the graph?
• y = x + 8
• x = 8
• y + 8 = x
• x y z = a b c
5. Poll
20 seconds
What is the equation that matches the graph?
• y = 3
• x = 3
• y + x = 3
• x y z = a b c
6. Word cloud
120 seconds
What are three-variable systems of equations used to solve?
7. Slide
60 seconds
A system of equations with three variables is a set of three equations that each have three variables. To solve these equations, you must determine the values of all three variables. Using elimination or substitution, you can find the solution to the system of equations.
Systems of Equations with Three Variables
8. Slide
60 seconds
System of Equations - A mathematical expression consisting of two or more equations, which are to be solved simultaneously. Solution of a System of Equations - A set of values for each of the variables in a system of equations that satisfies each equation in the system. Degree of a System of Equations - The highest degree (exponent) of any of the terms in the equations of the system.
Concepts:
9. Poll
60 seconds
What is the best approach to solve a system of equations with three variables?
• Graphing
• Substitution
• Elimination
• Other
10. Slide
60 seconds
The system of three variables is called a cubic equation because it involves an equation with a degree of three. Every system of three equations can be represented as a 3-dimensional graph. A cubic equation can have up to three different real solutions, or no real solutions at all.
Did you know?
11. Open question
300 seconds
What is the importance of understanding systems of equations in three variables?
12. Open question
300 seconds
What strategies can you use to solve a system of equations in three variables?
13. Open question
300 seconds
How did you reach the solution for this system of equations?
14. Open question
300 seconds
What methods or techniques did you use to solve this system of equations?