Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Answer the following questions.
(a) The sum of two integers is -15. If one of them is 56, find the other.
The
difference of an integer and -13 is 16. Find the integer.
(b)
-va

Sagot :

GinnyAnswer
### (a) Finding the Other Integer When the Sum is Given

We know that the sum of two integers is [tex]\(-15\)[/tex], and one of those integers is [tex]\(56\)[/tex]. Let the other integer be [tex]\(x\)[/tex].

Given:
[tex]\[ 56 + x = -15 \][/tex]

To find [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex]:

[tex]\[ x = -15 - 56 \][/tex]

Now, subtract [tex]\(56\)[/tex] from [tex]\(-15\)[/tex]:

[tex]\[ x = -71 \][/tex]

So, the other integer is [tex]\(-71\)[/tex].

### (b) Finding the Integer When the Difference is Given

We need to find an integer [tex]\(y\)[/tex] such that the difference between [tex]\(y\)[/tex] and [tex]\(-13\)[/tex] is [tex]\(16\)[/tex].

Given:
[tex]\[ y - (-13) = 16 \][/tex]

Simplify the left side:
[tex]\[ y + 13 = 16 \][/tex]

To isolate [tex]\(y\)[/tex], we subtract [tex]\(13\)[/tex] from both sides:

[tex]\[ y = 16 - 13 \][/tex]

Subtract [tex]\(13\)[/tex] from [tex]\(16\)[/tex]:

[tex]\[ y = 3 \][/tex]

So, the integer is [tex]\(3\)[/tex].
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.