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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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