To evaluate the expression [tex]\( 3(3x + y) - 5x + 13 \)[/tex] when [tex]\( x = 4 \)[/tex] and [tex]\( y = 7 \)[/tex], follow these steps:
1. Substitute the values given for [tex]\( x \)[/tex] and [tex]\( y \)[/tex] into the expression:
[tex]\[
3(3(4) + 7) - 5(4) + 13
\][/tex]
2. Simplify inside the parentheses:
[tex]\[
3(12 + 7) - 5(4) + 13
\][/tex]
3. Add the numbers inside the parentheses:
[tex]\[
3(19) - 5(4) + 13
\][/tex]
4. Multiply the constants by their coefficients:
[tex]\[
57 - 20 + 13
\][/tex]
5. Perform the addition and subtraction in sequence:
[tex]\[
57 - 20 = 37
\][/tex]
[tex]\[
37 + 13 = 50
\][/tex]
Therefore, the value of the expression [tex]\( 3(3x + y) - 5x + 13 \)[/tex] when [tex]\( x = 4 \)[/tex] and [tex]\( y = 7 \)[/tex] is [tex]\( \boxed{50} \)[/tex].
