# Problem Solving Involving Linear Equation

You will then be sent a link via email to verify your account.If you are not a member or are having any other problems, please contact customer support.Suppose x of the .50 seats and y of the .50 seats were sold.

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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. The ten's digit stands for "ten times of this digit's value".

If I have 6 tickets which cost \$15 each, the total cost is If I have 8 dimes, the total value is This is common sense, and is probably familiar to you from your experience with coins and buying things.

But notice that these examples tell me what the general equation should be: The number of items times the cost (or value) per item gives the total cost (or value). The total value of the coins (880) is the value of the pennies will go in the third column.

(i) There are two different quantities involved: for instance, the number of adults and the number of children, the number of large boxes and the number of small boxes, etc.

(ii) There is a value associated with each quantity: for instance, the price of an adult ticket or a children's ticket, or the number of items in a large box as opposed to a small box.Plugging the three points in the general equation for a quadratic, I get a system of three equations, where the variables stand for the unknown coefficients of that quadratic: ..other conics, though parabolas are the most common.Keep in mind that projectile problems (like shooting an arrow up in the air or dropping a penny from the roof of a tall building) are also parabola problems, using: if you're working in feet).We're sorry, this computer has been flagged for suspicious activity.If you are a member, we ask that you confirm your identity by entering in your email.Such problems often require you to write two different linear equations in two variables. Typically, one equation will relate the number of quantities (people or boxes) and the other equation will relate the values (price of tickets or number of items in the boxes). Phoebe has some 32-cent stamps, some 29-cent stamps, and some 3-cent stamps. Since the last two equations both involve y, I'll do everything in terms of y. I'll solve for x in terms of y: Plug and into and solve for y: Then Phoebe has 20 32-cent stamps, 10 29-cent stamps, and 5 3-cent stamps. The setup will give two equations, but I don't need to solve them using the whole equation approach as I did in other problems.The number of 29-cent stamps is 10 less than the number of 32-cent stamps, while the number of 3-cent stamps is 5 less than the number of 29-cent stamps. Since one variable is already solved for in the second equation, I can just substitute for it in the first equation. The larger number is 14 more than 3 times the smaller number. Let L be the larger number and let S be the smaller number. At the end of one interest period, the interest you earn is You now have dollars in your account.The price of one stock is per share, while the price of the other stock is per share. How many shares of each stock did the investor buy?Let x be the number of shares of the stock and let y be the number of shares of the stock.

## Comments Problem Solving Involving Linear Equation

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