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Solve [tex]$8x + c = k$[/tex] for [tex]$x$[/tex].

A. [tex]$x = 8(k - c)$[/tex]
B. [tex]$x = \frac{k - c}{8}$[/tex]
C. [tex][tex]$x = 8(k + c)$[/tex][/tex]
D. [tex]$x = \frac{k + c}{8}$[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( 8x + c = k \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 8x + c = k \][/tex]

Subtract [tex]\( c \)[/tex] from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 8x + c - c = k - c \][/tex]
This simplifies to:
[tex]\[ 8x = k - c \][/tex]

2. Solve for [tex]\( x \)[/tex]:
Now, to isolate [tex]\( x \)[/tex], divide both sides of the equation by [tex]\( 8 \)[/tex]:
[tex]\[ \frac{8x}{8} = \frac{k - c}{8} \][/tex]
This simplifies to:
[tex]\[ x = \frac{k - c}{8} \][/tex]

Therefore, the correct option is [tex]\( \boxed{B} \)[/tex].
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