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The sum of the two rational numbers is -8 . If one of the numbers is
-15//7, find the other.

The sum of the two rational numbers is $-8$ . If one of the numbers is $-15 / 7$ , find the other.

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Determine the direction of a vector scalar multiple

Full solution

Q. The sum of the two rational numbers is

-8

. If one of the numbers is

-15 / 7

, find the other.

Understand and Set Equation: Understand the problem and set up the equation. $\newline$ We are given that the sum of two rational numbers is $-8$ , and one of the numbers is $-\frac{15}{7}$ . Let's call the other number $x$ . We can set up the equation as follows: $\newline$ $x + (-\frac{15}{7}) = -8$
Solve for x: Solve for x. $\newline$ To find the value of $x$ , we need to isolate $x$ on one side of the equation. We do this by adding $\frac{15}{7}$ to both sides of the equation: $\newline$ $x + \left(-\frac{15}{7}\right) + \left(\frac{15}{7}\right) = -8 + \left(\frac{15}{7}\right)$ $\newline$ $x = -8 + \left(\frac{15}{7}\right)$
Convert and Add Fractions: Convert $-8$ to a fraction with the same denominator as $\frac{15}{7}$ to add the fractions. $\newline$ $-8$ can be written as $-\frac{56}{7}$ (since $-8 \times \frac{7}{7} = -\frac{56}{7}$ ). Now we can add the fractions: $\newline$ $x = (-\frac{56}{7}) + (\frac{15}{7})$
Add Numerators: Add the fractions. $\newline$ Now we add the numerators and keep the denominator the same: $\newline$ $x = (-56 + 15) / 7$ $\newline$ $x = -41 / 7$

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