Sure! Let's solve the equation [tex]\(-3x - y = -51\)[/tex] to find the value of [tex]\(y\)[/tex] when [tex]\(x\)[/tex] equals 15. Here are the steps:
1. Substitute [tex]\(x = 15\)[/tex] into the equation.
[tex]\[
-3(15) - y = -51
\][/tex]
2. Simplify the expression:
[tex]\[
-45 - y = -51
\][/tex]
3. To isolate [tex]\(y\)[/tex], add 45 to both sides of the equation:
[tex]\[
-45 - y + 45 = -51 + 45
\][/tex]
4. Simplify the right side:
[tex]\[
-y = -6
\][/tex]
5. Multiply both sides by -1 to solve for [tex]\(y\)[/tex]:
[tex]\[
y = 6
\][/tex]
So, the value of [tex]\(y\)[/tex] when [tex]\(x = 15\)[/tex] is [tex]\(y = 6\)[/tex].
