Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is the value of [tex]$x$[/tex] in the equation [tex]$8x - 2y = 48$[/tex], when [tex][tex]$y = 4$[/tex][/tex]?

A. 6
B. 7
C. 14
D. 48

Sagot :

GinnyAnswer
To solve for [tex]\(x\)[/tex] in the equation [tex]\(8x - 2y = 48\)[/tex] when [tex]\(y = 4\)[/tex], follow these steps:

1. Start by substituting the value of [tex]\(y\)[/tex] into the equation.
[tex]\[ 8x - 2(4) = 48 \][/tex]

2. Simplify the expression inside the parentheses:
[tex]\[ 8x - 8 = 48 \][/tex]

3. To isolate [tex]\(x\)[/tex], add 8 to both sides of the equation:
[tex]\[ 8x - 8 + 8 = 48 + 8 \][/tex]
[tex]\[ 8x = 56 \][/tex]

4. Finally, divide both sides of the equation by 8 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{56}{8} \][/tex]
[tex]\[ x = 7 \][/tex]

Thus, the value of [tex]\(x\)[/tex] is [tex]\(7\)[/tex]. Therefore, the correct answer is:
7
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.