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» » System Word Problems

Solving Systems of Equations
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.



Steps For Solving Real World Problems

  • 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.)




Example 1


algebra real world problems

algebra word problems



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.



Example 2


system of equations word problems

algebra problems




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.



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



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

system of equations word problems

Click here to practice solving system of equations word problems!



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