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Solve [tex]$6x + c = k$[/tex] for [tex]$x$[/tex].

A. [tex]$x = 6(k + c)$[/tex]
B. [tex]$x = \frac{k + c}{6}$[/tex]
C. [tex][tex]$x = \frac{k - c}{6}$[/tex][/tex]
D. [tex]$x = 6(k - c)$[/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(6x + c = k\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ 6x + c = k \][/tex]

2. Isolate the term involving [tex]\(x\)[/tex]. To do this, subtract [tex]\(c\)[/tex] from both sides of the equation:
[tex]\[ 6x + c - c = k - c \][/tex]
Simplifying gives:
[tex]\[ 6x = k - c \][/tex]

3. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 6:
[tex]\[ x = \frac{k - c}{6} \][/tex]

Thus, the solution for [tex]\(x\)[/tex] in terms of [tex]\(k\)[/tex] and [tex]\(c\)[/tex] is:
[tex]\[ x = \frac{k - c}{6} \][/tex]

Therefore, the correct answer is:
C. [tex]\( x = \frac{k - c}{6} \)[/tex]
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