Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

If [tex]6 + x + y = 20[/tex] and [tex]x + y = k[/tex], then [tex]20 - k =[/tex]

A. 6
B. 0
C. 14
D. 20

Sagot :

GinnyAnswer
Certainly! Let's solve the given problem step-by-step.

We are given the following equations:
1. [tex]\( 6 + x + y = 20 \)[/tex]
2. [tex]\( x + y = k \)[/tex]

Let's analyze the problem:

From equation 1:
[tex]\[ 6 + x + y = 20 \][/tex]

We need to isolate [tex]\( x + y \)[/tex]:

[tex]\[ x + y = 20 - 6 \][/tex]
So,
[tex]\[ x + y = 14 \][/tex]

Now, from equation 2 we know:
[tex]\[ x + y = k \][/tex]

Given both expressions for [tex]\( x + y \)[/tex], we can equate them:
[tex]\[ k = 14 \][/tex]

To find [tex]\( 20 - k \)[/tex], we substitute [tex]\( k \)[/tex] with 14:
[tex]\[ 20 - k = 20 - 14 \][/tex]

Therefore,
[tex]\[ 20 - k = 6 \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{6} \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.