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scoray [572]
3 years ago
11

8 less than 1/3 a number n is -13

Mathematics
1 answer:
AysviL [449]3 years ago
7 0
Let's set up an equation.

so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8

so we have -13 = 1/3n - 8.

To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n

You can check by plugging -15 into the equation we made.
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3 years ago
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{x}^{2}  + 2x - 48 = 0 \\  \\  {x}^{2}  + 8x - 6x - 48 = 0 \\  \\ x(x + 8) - 6(x + 8) = 0 \\  \\ (x + 8)(x - 6) = 0 \\  \\ x + 8 = 0 \:  \: or \:  \: x - 6 = 0 \\  \\ x =  - 8, \:  \:  \:  \: x = 6 \\

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