IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Join our knowledgeable community and get detailed, reliable answers to all your questions.
Sagot :
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.
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.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.