Let's evaluate the expression [tex]\(-x + 3y - 17\)[/tex] when [tex]\(x = -2\)[/tex] and [tex]\(y = 4\)[/tex].
1. First, substitute [tex]\(x\)[/tex] and [tex]\(y\)[/tex] with the given values in the expression:
[tex]\[
-(-2) + 3 \cdot 4 - 17.
\][/tex]
2. Simplify the term [tex]\(-(-2)\)[/tex]:
[tex]\[
-(-2) = 2.
\][/tex]
3. Next, compute the multiplication [tex]\(3 \cdot 4\)[/tex]:
[tex]\[
3 \cdot 4 = 12.
\][/tex]
4. Substitute the simplified terms back into the expression:
[tex]\[
2 + 12 - 17.
\][/tex]
5. Add 2 and 12:
[tex]\[
2 + 12 = 14.
\][/tex]
6. Finally, subtract 17 from 14:
[tex]\[
14 - 17 = -3.
\][/tex]
Therefore, the result of the expression [tex]\(-x + 3y - 17\)[/tex] when [tex]\(x = -2\)[/tex] and [tex]\(y = 4\)[/tex] is [tex]\(-3\)[/tex].
