# How to solve algebra word problems with 2 variables

## Two-step equation word problem: computers Pre-Algebra Help» Algebraic Equations» Word Problems» Word Problems with Two Unknowns Step 2: substitute 2m for k and add the variables.

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Combined, Megan and Kelly worked 60 hours. Kelly worked twice as many hours as Megan. How many hours did they each work? Step 1: Megan and Kelly's total hours worked needs to add up to 60, and Kelly worked two times as long as Megan. We can put this into a formula:. Jamal invites 15 people to his birthday party and orders enough cupcakes so that everyone himself included will get two cupcakes.

Exercises More Exercises. Many problems lend themselves to being solved with systems of linear equations. In "real life", these problems can be incredibly complex. This is one reason why linear algebra the study of linear systems and related concepts is its own branch of mathematics. In your studies, however, you will generally be faced with much simpler problems.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra basics Linear equations and inequalities Two-steps equations. Intro to two-step equations. Two-step equations intuition. Worked example: two-step equations. Practice: Two-step equations.

Ticket problem. Investment problem. Mixture problems. Example 1. Andre has more money than Bob. How much does each one actually have? Let x be the amount of money that Andre has.

See also Word Problems. T hese all involve solving by a word problem by writing two linear equations using 2 variables. Solving basic word problems using a system with 2 variables. These are puzzles and riddles with numbers. These two videos focus on how to define two variables, set up two equations, and check the solutions. Several problems are presented, but using the methods of graphing, substitution, and addition to solve the problems are not shown.

## System-of-Equations Word Problems

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## Two-Variable Word Problems

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