Get personalized answers to your specific questions with IDNLearn.com. Our platform provides trustworthy answers to help you make informed decisions quickly and easily.

Complete the solution of the equation. Find the value of [tex] y [/tex] when [tex] x = 15 [/tex].

[tex] -3x - y = -51 [/tex]


Sagot :

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].