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The sum of a number and 15 is -23 . Find the number:
The unknown number is ◻.
(Simplify your answer.)

The sum of a number and $15$ is $-23$ . Find the number: $\newline$ The unknown number is $\square$ . $\newline$ (Simplify your answer.)

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Opposites of rational numbers

Full solution

Q. The sum of a number and

15

is

-23

. Find the number:

\newline

The unknown number is

\square

.

\newline

(Simplify your answer.)

Set up equation: Set up the equation based on the problem statement. $\newline$ Let the unknown number be $x$ . According to the problem, the sum of $x$ and $15$ is $-23$ . So, we can write the equation as: $\newline$ $x + 15 = -23$
Solve for x: Solve for x by subtracting $15$ from both sides of the equation. $\newline$ Subtracting $15$ from both sides to isolate $x$ gives us: $\newline$ $x + 15 - 15 = -23 - 15$ $\newline$ This simplifies to: $\newline$ $x = -23 - 15$
Perform subtraction: Perform the subtraction to find the value of $x$ . $\newline$ Now we calculate the right side of the equation: $\newline$ $x = -23 - 15$ $\newline$ $x = -38$
Verify solution: Verify the solution by plugging the value of $x$ back into the original equation. $\newline$ If we substitute $x = -38$ into the original equation, we get: $\newline$ $-38 + 15 = -23$ $\newline$ This simplifies to: $\newline$ $-23 = -23$ $\newline$ Since the left side of the equation equals the right side, our solution is correct.

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