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
