# Solving System Word Problems

We will be looking at different types of word problems involving such ideas as distance, percentages, and something we can all relate to MONEY!!!

This is the exact same process for problem solving that was introduced in Tutorial 16: Formulas and Applications The difference is in this tutorial we will be setting up a system of linear equations as opposed to just working with one equation.

Word Problems Using Systems of Equations helps students learn methods for solving word problems that call for one to solve for more than one variable, and teaches through examples involving mixtures, rate, work, coins, age, digit sums, percentages, and more.

The shortest side of a triangle has length 16 inches.

This is the simplest kind of system of equations to solve.

In fact, many students will solve these kinds of problems without even thinking of it as a system of equations.

Sometimes the problem lies in understanding the problem.

If you are unclear as to what needs to be solved, then you are probably going to get the wrong results.

Do whichever seems more suitable for your class, or show both ways of solving.

Keep in mind that clearing the fractions causes it to no longer be a simple substitution problem.

## Comments Solving System Word Problems

• ###### Linear Systems Word Problems - Bullock Creek High School

Linear Systems Word Problems Now that we have techniques for solving systems we can set up our word problems with two variables. If we use two variables we will need two equations.…

• ###### Systems of Equations Worksheets Math Worksheets

Word Problems. Word Problems Worksheet 1 – This 6 problem algebra worksheet will help you practice solving real-life systems of equations problems using the “ substitution ” method. All of the coefficients and answers are positive integers. Word Problems Worksheet 1 RTF Word Problems Worksheet 1 PDF View Answers Word Problems Worksheet 2 –.…

• ###### Solving Systems Word Problems. - Math Worksheets Land

Joey is making tea for the soccer team. In the morning, he made 8 pots of green tea and 7 pots of black tea. This made a total of 134 cups of tea. In the evening, he made 12 pots of green tea and 7 pots of black tea, for a total of 166 cups of tea.…

• ###### Engaging Ideas for Teaching Systems of Equations Mrs. E.

To be successful, students need to be very comfortable graphing equations of lines. Also, this would be a good introduction to systems of equations word problems. 11 - Solving Systems of Equations Puzzle - This hands-on puzzle gets students practicing elimination and substitution. Since this is self-checking, students don't practice incorrectly - they must ask for help if they don't find their answer.…

• ###### Solving System of Linear Equations Word Problems Worksheet

Solving system of linear equations word problems worksheet Solving System of Linear Equations Word Problems Worksheet Worksheet given in this section will be much useful to the students who would like to practice solving word problems on system of linear equations.…

• ###### How to solve Algebra Word Problems? solutions, examples, videos

The best way to approach word problems is to “divide and conquer”. Break the problem down into smaller bits and solve each bit at a time. First, we need to translate the word problem into equations with variables. Then, we need to solve the equations to find the solutions to the word problems.…

• ###### Word Problems Involving Systems of Linear Equations

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. In many of the examples below, I'll use the whole equation approach.…