Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Jana writes the true equation [tex]\((-9) - 8 = -17\)[/tex]. A second equation from the same fact family is shown:

[tex]\[
(-8) + \left(\_\right) = -17
\][/tex]

What value should Jana put in the blank to make the equation true?

A. [tex]\(-17\)[/tex]
B. [tex]\(17\)[/tex]
C. [tex]\(-9\)[/tex]
D. [tex]\(8\)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\((-8) + \left(\_\right) = -17\)[/tex], we need to determine the value that makes this equation true.

Let's denote the blank with [tex]\(x\)[/tex]. So, the equation becomes:
[tex]\[ (-8) + x = -17 \][/tex]

Our goal is to isolate [tex]\(x\)[/tex]. To do this, we can subtract [tex]\(-8\)[/tex] from both sides of the equation:
[tex]\[ (-8) + x - (-8) = -17 - (-8) \][/tex]

Simplifying this, we have:
[tex]\[ x = -17 - (-8) \][/tex]

We know that subtracting a negative is the same as adding the positive value of that number, so:
[tex]\[ x = -17 + 8 \][/tex]

Now, let's calculate [tex]\(-17 + 8\)[/tex]:
[tex]\[ -17 + 8 = -9 \][/tex]

Therefore, the value that Jana should put in the blank to make the equation [tex]\((-8) + \left(\_\right) = -17\)[/tex] true is [tex]\(-9\)[/tex].

Thus, the correct value is:
[tex]\[ \boxed{-9} \][/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.