Answered

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Solve [tex]$5x + c = k$[/tex] for [tex]$x$[/tex].

A. [tex]$x = \frac{k - c}{5}$[/tex]
B. [tex][tex]$x = 5(k + c)$[/tex][/tex]
C. [tex]$x = \frac{k + c}{5}$[/tex]
D. [tex]$x = 5(k - c)$[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( 5x + c = k \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Here’s the step-by-step solution:

1. Start with the given equation:
[tex]\[ 5x + c = k \][/tex]

2. To isolate [tex]\( x \)[/tex], first, we need to get rid of the constant term [tex]\( c \)[/tex]. We do this by subtracting [tex]\( c \)[/tex] from both sides of the equation:
[tex]\[ 5x + c - c = k - c \][/tex]
Simplifying, we get:
[tex]\[ 5x = k - c \][/tex]

3. Now, to solve for [tex]\( x \)[/tex], we need to eliminate the coefficient of [tex]\( x \)[/tex], which is 5. We do this by dividing both sides of the equation by 5:
[tex]\[ \frac{5x}{5} = \frac{k - c}{5} \][/tex]
Simplifying, we get:
[tex]\[ x = \frac{k - c}{5} \][/tex]

4. So, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = \frac{k - c}{5} \][/tex]

This matches with option A:
[tex]\[ A. \ x = \frac{k - c}{5} \][/tex]

Therefore, the correct answer is option A.
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