# Problem Solving Of Linear Equation These equations typically have one variable and look like 3x = 9 or y 4 = 10.

These equations typically have one variable and look like 3x = 9 or y 4 = 10.

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There are simple problems that involve linear equations.

You also paid \$3 each for shoes, and there were three of you, so that's 3*3, or 9. In summary, we learned how to translate word problems in linear equations, or algebraic expressions that represent lines.

The difficult part of solving word problems is translating the words into equations. When you're learning a foreign language, it's good to become familiar with lots of different words; with word problems, it's good to work with lots of different problems. Calvin Butterball buys a book for \$14.70, which is a discount off the regular price. If you travel for 2 hours at an average speed of 60 miles per hour, how far did you travel? Since the planes started 2400 miles apart, when they pass each other they must have Phoebe spends 2 hours training for an upcoming race. Since she ran out, then turned around and walked back, her running and walking distances must be equal.

Set this equal to 14.7 and solve for x: Joe has 4 less than 7 times as many shirts as Mark. A total of 62 shirts are sold, and the total value of the shirts is \$1098. The third column gives an equation which I can solve for x: Then .

Plus, get practice tests, quizzes, and personalized coaching to help you succeed. If we want to save \$400, then our equation is 35w = 400. After you get the bike, you decide to have some fun. Then, we looked at problems that involve real-life scenarios, from loaning money to bowling.

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 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.

The first train is traveling at a rate of 75 mph, so the distance it covers in t time is 75t.

Ok, before we go, why don't we try that train problem, you know, just to show that we can. Another train leaves New York at the same time, traveling on a parallel track to Chicago at 85 mph. We're trying to find how much time it will take, or t.

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.

A train leaves Chicago at 7 a.m., traveling at 70 mph to New York, which is 800 miles away. We're going to ignore the questionable judgment he displays in loaning money to family. You can test out of the first two years of college and save thousands off your degree.

## Comments Problem Solving Of Linear Equation

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