Sure, let's solve this step by step.
1. Understand the problem: We are given that the sum of two integers is -47, and one of those integers is -34. We need to find the other integer.
2. Set up the equation: Let's call the unknown integer [tex]\( x \)[/tex]. According to the given information, the sum of these integers can be written mathematically as:
[tex]\[
-34 + x = -47
\][/tex]
3. Isolate [tex]\( x \)[/tex]: To find [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by adding 34 to both sides of the equation:
[tex]\[
-34 + x + 34 = -47 + 34
\][/tex]
Simplifying this, we get:
[tex]\[
x = -13
\][/tex]
4. Conclusion: Therefore, the other integer is [tex]\(-13\)[/tex].
