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Q. 107

Expert-verifiedFound in: Page 612

Book edition
2nd

Author(s)
Lynn Marecek, MaryAnne Anthony-Smith

Pages
1240 pages

ISBN
9780998625713

In the following exercises, translate to a system of equations and solve.

The sum of two numbers is 15. One number is 3 less than the other. Find the numbers.

The numbers are 6 and 9

The given data is that the sum of two numbers is 15. One number is 3 less than the other.

Let us assume that *x* be the first number and *y* be the second number.

The sum of two number is 15 implies that $x+y=15--\left(1\right)$

One number is 3 less than the other implies that $x=y-3--\left(2\right)$

Substitute the value of variable *x* from equation (2) in equation (1).

localid="1647449889617" $x+y=15\phantom{\rule{0ex}{0ex}}y-3+y=15\phantom{\rule{0ex}{0ex}}2y=18\phantom{\rule{0ex}{0ex}}y=9\phantom{\rule{0ex}{0ex}}$

Find the value of variable *x* by using the obtained value of *y*.

localid="1647449918198" $x=y-3\phantom{\rule{0ex}{0ex}}x=9-3\phantom{\rule{0ex}{0ex}}x=6$

Thus, the required ordered pair is $(9,6)$

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