Certainly! Let's solve the equation [tex]\(2x + 3y = 36\)[/tex] given [tex]\(y = 6\)[/tex]. We will follow a step-by-step approach:
1. Substitute the value of [tex]\(y = 6\)[/tex] into the equation:
[tex]\[
2x + 3(6) = 36
\][/tex]
2. Simplify the equation by performing the multiplication:
[tex]\[
2x + 18 = 36
\][/tex]
3. Isolate the term containing [tex]\(x\)[/tex]:
- Subtract 18 from both sides of the equation:
[tex]\[
2x + 18 - 18 = 36 - 18
\][/tex]
[tex]\[
2x = 18
\][/tex]
4. Solve for [tex]\(x\)[/tex]:
- Divide both sides of the equation by 2:
[tex]\[
x = \frac{18}{2}
\][/tex]
[tex]\[
x = 9
\][/tex]
So the value of [tex]\(x\)[/tex] is [tex]\(9\)[/tex].
Therefore, the correct answer is [tex]\( \boxed{9} \)[/tex].
