Evaluate the expression when [tex]\(x=4\)[/tex] and [tex]\(y=7\)[/tex].

[tex]\[ 3(3x + y) - 5x + 13 = \][/tex]

[tex]\[\square\][/tex]



Answer :

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].