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Solve [tex][tex]$3x + 11 = k$[/tex][/tex] for [tex][tex]$x$[/tex][/tex].

A. [tex][tex]$x = \frac{k - 11}{3}$[/tex][/tex]
B. [tex][tex]$x = 3k - 11$[/tex][/tex]
C. [tex][tex]$x = k - 11$[/tex][/tex]
D. [tex][tex]$x = \frac{k - 11}{3}$[/tex][/tex]

Sagot :

GinnyAnswer
Sure, let's solve the equation [tex]\(3x + 11 = k\)[/tex] for [tex]\(x\)[/tex] step-by-step.

1. Start with the given equation:
[tex]\[ 3x + 11 = k \][/tex]

2. Isolate the term involving [tex]\(x\)[/tex] on one side. To do this, we need to subtract 11 from both sides of the equation:
[tex]\[ 3x + 11 - 11 = k - 11 \][/tex]
Simplifying this, we get:
[tex]\[ 3x = k - 11 \][/tex]

3. Solve for [tex]\(x\)[/tex]. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by 3:
[tex]\[ \frac{3x}{3} = \frac{k - 11}{3} \][/tex]
Simplifying this, we get:
[tex]\[ x = \frac{k - 11}{3} \][/tex]

So the solution to the equation [tex]\(3x + 11 = k\)[/tex] is:

[tex]\[ \boxed{x = \frac{k - 11}{3}} \][/tex]

This corresponds to option A.
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