*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.*

*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.*

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Suppose x of the $2.50 seats and y of the $10.50 seats were sold.

The first and third columns give the equations Multiply the second equation by 10 to clear decimals: Solve the equations by multiplying the first equation by 25 and subtracting it from the second: Then , so .

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). 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.It's not always easy to tell what kind of equation a word problem involves, until you start translating it to math symbols.Words like "together," "altogether," or "combined" often indicate that the problem involves addition.But they are convenient for organizing information --- and they give you a pattern to get started with problems of a given kind (e.g.interest problems, or time-speed-distance problems). In some cases, you the numbers in some of the columns in a table.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.Just as "26" is "10 times 2, plus 6 times 1", so also the two-digit number they've given me will be ten times the "tens" digit, plus one times the "units" digit.In other words: that make the quadratic equation true.

## Comments Problem Solving Involving Linear Equation