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# Solving System Word Problems The perimeter of the triangle is nineteen less than three times the longest side.

The remaining side is eight inches shorter than the longest side. Instructions: Pick a variable for each unknown, and state what it represents.

Bob and Bart's names were specifically chosen to force students to recognize that B can't be used as a variable for both, and another choice must be made for one of the boys.

The shortest side of a triangle has length 16 inches.

Once the problem is read, you need to list out all the components and data that are involved.

This is where you will be assigning your variables.

Sounds simple enough, but some people jump the gun and try to start solving the problem before they have read the whole problem.

Contrary to that belief, it can be a learned trade.

Even the best athletes and musicians had some coaching along the way and lots of practice - that's what it also takes to be good at problem solving.

However, students who write carelessly may mistake a lower case L for a one, and an S for a 5. One student in my class selected "B" and "T" for "Big" and "Tiny," thus avoiding the issue altogether.

Sum of Two Fractions: This system can be solved by clearing the equations of fractions and then solving, or by carrying the fraction through the problem.

1. 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.

2. 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.

3. Systems of Linear Equations Word Problems 1. At an ice cream parlor, ice cream cones cost \$1.10 and sundaes cost \$2.35. One day, the receipts for a total of 172 cones and sundaes were \$294.20. How many cones were sold? 2. You purchase 8 gal of paint and 3 brushes for \$152.50next day, you purchase 6 gal of paint and 2 brushes for \$113.00.

4. 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.