Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » System of Equations » System Word Problems

# Solving Systems of Equations

Real World Problems

## Steps For Solving Real World Problems

Ok... let's look at a few examples. Follow along with me. (Having a calculator will make it easier for you to follow along.)

## Example 1

## Example 2

### Take a look at the questions that other students have submitted:

## Other Lessons You Might Like on Systems of Equations

# Like This Page?

Real World Problems

Wow! You have learned many different strategies for solving systems of equations! First we started with Graphing Systems of Equations. Then we moved onto solving systems using the Substitution Method. In our last lesson we used the Linear Combinations or Addition Method to solve systems of equations.

Now we are ready to apply these strategies to solve real world problems! Are you ready? First let's look at some guidelines for solving real world problems and then we'll look at a few examples.

- Highlight the important information in the problem that will help write two equations.
- Define your variables
- Write two equations
- Use one of the methods for solving systems of equations to solve.
- Check your answers by substituting your ordered pair into the original equations.
- Answer the questions in the real world problems. Always write your answer in complete sentences!

Ok... let's look at a few examples. Follow along with me. (Having a calculator will make it easier for you to follow along.)

That wasn't too bad, was it? The hardest part is writing the equations. From there you already know the strategies for solving. Think carefully about what's happening in the problem when trying to write the two equations.

Yes, I know that word problems can be intimidating, but this is the whole reason why we are learning these skills. You must be able to apply your knowledge!

If you have difficulty with real world problems, you can find more examples and practice problems in the Algebra Class E-course.

Don't worry if you had trouble. A lot of people struggle with this aspect of Algebra. Take a look at all of the people who have submitted word problems for solving a systems of equations.

Problem about milk consumption in the U.S.

Vans and Buses? How many rode in each?

Systems problem about hats and scarves

How much did Alice spend on shoes?

Small pitchers and large pitchers - how much will they hold?

Chickens and dogs in the farm yard

To ask a question, please visit my Math Forum.

Hopefully you were able to follow along step by step. Are you comfortable enough to try a few on your own?

Click here to practice solving system of equations word problems!

Systems of Equations Unit

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

Most Popular Pages

Dear Karin,

*I am a homeschool mom of five who struggled with finding a solid algebra program for my older boys until I came upon your algebra class. Your tutorials are straight forward and detailed. Your assignments are designed in such a way that we can spend extra time on what my children need to and move on when they understand something more easily.*

* I am a math-lover myself and am excited that you have finished part 2 of this course. My boys are understanding algebra in a way that they never were able to with other courses due to the detail and care that are in each of your lessons. I also appreciate that you are available to answer questions. *

Thank you,

Jacqui Coleman

Dear Karin,

*Finding your site was such a blessing to me! I
have been out of school for 13+ years and finding out that my next
course would be Algebra scared me to death!*

* I have now found a new
love of learning for algebra--something I never thought would happen.
After indulging in the section of functions, I decided to explore
other areas that I have just learned. It made areas such as
inequalities and graphing so much easier to grasp!*

* I just wanted to
thank you for your passion and dedication for helping others! I also
love the fact that you add in some humor, too. I have shared your site
with classmates and hope they take an opportunity to look into it as
well! Thank you----*

With greatest respect,

Dani

Hi Karin,

*I just spent 3 hours doing Unit 5 Lessons 1 & 2 because that is what I am learning at school this week, and cannot believe my progress. I so wish I would have found your course sooner. It is amazing. You explain everything in such clarity it's like night and day.
Thank you so much for getting me started. I am so happy you can't believe it.
You are the best instructor ever!*

Thanks again.

Joe

- Algebra Class E-course
- Print this Site
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam

? ## Subscribe To This Site

Then why not use the button below, to add us to your favorite bookmarking service?

Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!