Solving Word Problems Using Systems Of Linear Equations

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Try it risk-free From sale prices to trip distances, many real life problems can be solved using linear equations. Let's say you're a little short on cash and need a loan. You've been averaging way more than that, so maybe this isn't a great plan. If you can save $35 each week, how many weeks will it take you to get the bike? We focused on defining the variable, or the unknown quantity, in terms of what is known, then solving for the variable.

In this lesson, we'll practice translating word problems into linear equations, then solving the problems. Let's take that knowledge and look at some real life situations. Your cousin agrees to loan you money, and you agree that you'll repay him in full plus 4% interest. But, then you get a new job, and suddenly you have some extra cash. Oh, and we solved the dreaded algebra train problem. You'll be able to translate word problems into linear equations and solve those equations after watching this video lesson. We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities.

In the later units of this course, you will discover another tool used in mathematics to describe numbers and analyze relationships: graphing.

You will learn that any pair of numbers can be represented by a point on a coordinate plane and that a relationship between two quantities can be represented by a line or a curve.

Knowing how to solve systems of equations is necessary to solve these types of problems.

Other types of word problems involving systems of equations include mixture problems, money word problems, work word problems and rate word problems.

In these equations, we're trying to figure out the variable, which involves getting it alone on one side of the equals sign.

There are simple problems that involve linear equations.

I mean, I've ridden trains between Chicago and New York, but I've never plotted when my train will pass another. To multiply with a percent, we convert it to a decimal. If you want to try the new plan and spend only each month, how many texts can you send?

In this lesson, we'll not only practice solving problems that can be translated into linear equations, we'll also focus on problems you may encounter in your life - problems not involving trains passing each other. If we solve for x by subtracting 35 from both sides, we get x = 37. They can be a bit more complex, like this: 15 less than four times a number is 57.

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