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dem82 [27]
3 years ago
13

Six less than the product of a number n and 1/5 is no more than 99

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

(n * ⅕) - 6 ≤ 99

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

(n * ⅕) - 6 ≤ 99

Opening the bracket, we have;

n/5 - 6 ≤ 99

Rearranging the equation, we have;

n/5 ≤ 99 + 6

n/5 ≤ 105

Multiplying both sides by 5, we have;

5 * n/5 ≤ 105 * 5

n ≤ 525

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It's best to write the two equations as a vertical column:

8x+14y=4

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Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:

-12x - 14y = -20

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Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.

The solution to this system of linear equations is thus (4,-2).

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-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.

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