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puteri [66]
3 years ago
10

A 37 inch tv sells for $400. This is a $45 less than five times the cost of a 19 inch tv. Find the cost of the 19 inch tv.

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

A 19 inch tv cost $89

Step-by-step explanation:

37 inch tv : 400 = 5x - 45

19 inch tv : x

We have the equation:

5x - 45 = 400

5x = 445

x = 89

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Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

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Of course, any operation you do must be done <em>to both sides of the equation</em>.

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1. y -6 = -6(x +2)

  y -6 = -6x -12 . . . . . eliminate parentheses

  6x +y -6 = -12 . . . . . add 6x

  6x +y = -6 . . . . . . . . add 6

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2. y +2 = 6(x -1)

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3. y -3 = -5(x -2)

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<em>Additional comment</em>

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

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