# Write and solve a system of equations word problems

Word Problems Involving Systems of Linear Equations Many word problems will give rise to systems of equations that is, a pair of equations like this: You can solve a system of equations in various ways. To review how this works, in the system above, I could multiply the first equation by 2 to get the y-numbers to match, then add the resulting equations: If I plug intoI can solve for y:  But word problems do not have to be the worst part of a math class. By setting up a system and following it, you can be successful with word problems. So what should you do? Here are some recommended steps: Read the problem carefully and figure out what it is asking you to find.

Usually, but not always, you can find this information at the end of the problem. Assign a variable to the quantity you are trying to find. Most people choose to use x, but feel free to use any variable you like.

For example, if you are being asked to find a number, some students like to use the variable n. It is your choice. Write down what the variable represents. At the time you decide what the variable will represent, you may think there is no need to write that down in words. However, by the time you read the problem several more times and solve the equation, it is easy to forget where you started.

Re-read the problem and write an equation for the quantities given in the problem. This is where most students feel they have the most trouble. The only way to truly master this step is through lots of practice.

Be prepared to do a lot of problems. The examples done in this lesson will be linear equations.

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Solutions will be shown, but may not be as detailed as you would like. If you need to see additional examples of linear equations worked out completely, click here. Just because you found an answer to your equation does not necessarily mean you are finished with the problem.

Many times you will need to take the answer you get from the equation and use it in some other way to answer the question originally given in the problem. Your answer should not only make sense logically, but it should also make the equation true. If you are asked how fast a person is running and give an answer of miles per hour, again you should be worried that there is an error.

If you substitute these unreasonable answers into the equation you used in step 4 and it makes the equation true, then you should re-think the validity of your equation.Solve word problems by modeling them into a system of equations and solving it.

If you're seeing this message, it means we're having trouble loading external resources on our . All of these different permutations of the above example work the same way: Take the general equation for the curve, plug in the given points, and solve the resulting system of equations for the values of the coefficients.

They monitor and evaluate their progress and change course if necessary Mathematically proficient students check their answers to problems Tracy Lewis leads a re-engagement lesson on the language of word problems, helping students to use word clues to identify mathematical operations.

## Steps For Solving Real World Problems

Systems of Equations Word Problems Date_____ Period____ 1) Kristin spent \$ on shirts. Fancy shirts cost \$28 and plain shirts cost \$ If she bought a total of 7 then how many of each kind did she buy? 2 fancy shirts and 5 plain shirts Systems Word Problems Author: Mike Created Date.

Word problems Here is a list of all of the skills that cover word problems! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. Most of the time when someone says “word problems” there is automatic panic.

But word problems do not have to be the worst part of a math class.

Word Problems: Ticket Sales