To find the value of [tex]\(\frac{-27}{y} + \frac{x}{2}\)[/tex] given [tex]\(x = 2\)[/tex] and [tex]\(y = -3\)[/tex], follow these steps:
1. Substitute the given values into the expression:
[tex]\[
\frac{-27}{y} + \frac{x}{2} \quad \text{becomes} \quad \frac{-27}{-3} + \frac{2}{2}
\][/tex]
2. Simplify each term separately:
- For the first term [tex]\(\frac{-27}{-3}\)[/tex]:
[tex]\[
\frac{-27}{-3} = 9
\][/tex]
This is because dividing two negative numbers results in a positive number, and [tex]\(27\)[/tex] divided by [tex]\(3\)[/tex] is [tex]\(9\)[/tex].
- For the second term [tex]\(\frac{2}{2}\)[/tex]:
[tex]\[
\frac{2}{2} = 1
\][/tex]
3. Add the simplified terms together:
[tex]\[
9 + 1 = 10
\][/tex]
Therefore, the value of [tex]\(\frac{-27}{y} + \frac{x}{2}\)[/tex] when [tex]\(x = 2\)[/tex] and [tex]\(y = -3\)[/tex] is:
[tex]\[
10
\][/tex]
