# Solving Systems of Equations With 3 Variables & Word Problems | Summary and Q&A

613.8K views
January 18, 2018
by
The Organic Chemistry Tutor
Solving Systems of Equations With 3 Variables & Word Problems

## TL;DR

Learn how to solve a system of three equations and solve word problems involving investments and costs.

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### Q: How do you solve a system of three equations?

To solve a system of three equations, choose two equations and eliminate a variable by adding or subtracting them. Then, choose different equations and repeat the process. Finally, solve the resulting system of two equations to find the values of the variables.

### Q: What is the process for solving word problems involving investments?

For word problems involving investments, write equations to represent the total investment amount and the total interest received. Convert percentages to decimals and set up a system of equations. Use the method of elimination to solve the system and find the values of the variables.

### Q: How do you convert a percentage into a decimal?

To convert a percentage into a decimal, divide it by 100. For example, to convert 15% to a decimal, divide 15 by 100, resulting in 0.15.

### Q: How do you calculate the cost of a combination of apples and bananas?

To calculate the cost of a combination of apples and bananas, set up equations based on the given information and variables representing the cost of each. Solve the system of equations to find the values of the variables and calculate the cost using the given quantities.

## Summary & Key Takeaways

• The video explains how to solve a system of three equations by choosing two equations, canceling out a variable, and solving for the remaining variables.

• It demonstrates the process step-by-step with an example.

• The video also provides an example of solving a word problem involving investments and calculates the cost of a combination of apples and bananas.