How To Solve Systems Of Equations Word Problems

Sometimes word problems describe a system of equations, two equations each with two unknowns.Solving word problems like this one aren't so bad if you know what to do. Having difficulty turning a word problem into an algebra equation? With this tutorial, you'll learn how to break down word problems and translate them into mathematical equations.Try it now: x y=7, x 2y=11 Try entering x y=7, x 2y=11 into the text box.

Sometimes word problems describe a system of equations, two equations each with two unknowns.Solving word problems like this one aren't so bad if you know what to do. Having difficulty turning a word problem into an algebra equation? With this tutorial, you'll learn how to break down word problems and translate them into mathematical equations.Try it now: x y=7, x 2y=11 Try entering x y=7, x 2y=11 into the text box.

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Trying to solve two equations each with the same two unknown variables?

Take one of the equations and solve it for one of the variables.

This tutorial will take you through this process of substitution step-by-step!

A system of equations is a set of equations with the same variables.

This is where I get the headings on the tables below. There are twice as many nickels as pennies, so there are nickels. Be sure you understand the equations in the pennies and nickels rows are the way they are: The number of coins times the value per coin is the total value. This might be the total cost of a number of tickets, the distance travelled by a car or a plane, the total interest earned by an investment, and so on.

You'll see that the same idea is used to set up the tables for all of these examples: Figure out what you'd do in a particular case, and the equation will say how to do this in general. If there are twice as many nickels as pennies, how many pennies does Calvin have? In this kind of problem, it's good to do everything in cents to avoid having to work with decimals. If the words seem too abstract to grasp, try some examples: If you have 3 nickels, they're worth cents. With this arrangement: There are many correct ways of doing math problems, and you don't have to use tables to do these problems.

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Then plug that into the other equation and solve for the variable.

Plug that value into either equation to get the value for the other variable.