Answered

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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]
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