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Delicious77 [7]
3 years ago
7

A number, x, is 11 less than 3 times a smaller number, y,. The sum of the numbers is 24. solve for x and y

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
The numbers: x, y

x=3y-11 \\
x+y=24 \\ \\
\hbox{substitute 3y-11 for x in the second equation:} \\
3y-11+y=24 \\
3y+y=24+11 \\
4y=35 \\
y=\frac{35}{4}=8 \frac{3}{4} \\ \\
x=3 \cdot \frac{35}{4}-11 =\frac{105}{4}-\frac{44}{4}=\frac{61}{4}=15 \frac{1}{4}
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Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

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Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

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