To evaluate the expression [tex]\(3y + 9 - 2x\)[/tex] given the values [tex]\(x = 4\)[/tex] and [tex]\(y = 2\)[/tex], follow these steps:
1. Substitute the given values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] into the expression:
[tex]\[
3(2) + 9 - 2(4)
\][/tex]
2. First, perform the multiplication for both terms:
[tex]\[
3 \cdot 2 = 6
\][/tex]
[tex]\[
2 \cdot 4 = 8
\][/tex]
3. Substitute these results back into the expression:
[tex]\[
6 + 9 - 8
\][/tex]
4. Then, perform the addition and subtraction from left to right:
[tex]\[
6 + 9 = 15
\][/tex]
[tex]\[
15 - 8 = 7
\][/tex]
Therefore, the value of the expression [tex]\(3y + 9 - 2x\)[/tex] when [tex]\(x = 4\)[/tex] and [tex]\(y = 2\)[/tex] is [tex]\(7\)[/tex].
