Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Sure! Let's solve the equation step-by-step.
Given equation:
[tex]\[ 7(x - 4) = 14 \][/tex]
1. First, distribute the 7 on the left-hand side:
[tex]\[ 7(x - 4) = 7 \cdot x - 7 \cdot 4 \][/tex]
[tex]\[ 7x - 28 = 14 \][/tex]
2. Next, we need to isolate the [tex]\(x\)[/tex] term. To do this, add 28 to both sides of the equation to move the constant term from the left side to the right side:
[tex]\[ 7x - 28 + 28 = 14 + 28 \][/tex]
[tex]\[ 7x = 42 \][/tex]
3. Finally, to solve for [tex]\(x\)[/tex], divide both sides of the equation by 7:
[tex]\[ \frac{7x}{7} = \frac{42}{7} \][/tex]
[tex]\[ x = 6 \][/tex]
So, the solution to the equation [tex]\( 7(x - 4) = 14 \)[/tex] is [tex]\( x = 6 \)[/tex].
Thus, the correct answer is:
a) [tex]\( 6 \)[/tex]
Given equation:
[tex]\[ 7(x - 4) = 14 \][/tex]
1. First, distribute the 7 on the left-hand side:
[tex]\[ 7(x - 4) = 7 \cdot x - 7 \cdot 4 \][/tex]
[tex]\[ 7x - 28 = 14 \][/tex]
2. Next, we need to isolate the [tex]\(x\)[/tex] term. To do this, add 28 to both sides of the equation to move the constant term from the left side to the right side:
[tex]\[ 7x - 28 + 28 = 14 + 28 \][/tex]
[tex]\[ 7x = 42 \][/tex]
3. Finally, to solve for [tex]\(x\)[/tex], divide both sides of the equation by 7:
[tex]\[ \frac{7x}{7} = \frac{42}{7} \][/tex]
[tex]\[ x = 6 \][/tex]
So, the solution to the equation [tex]\( 7(x - 4) = 14 \)[/tex] is [tex]\( x = 6 \)[/tex].
Thus, the correct answer is:
a) [tex]\( 6 \)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.