Chapter 1.2, Problem 7E

To determine

To find:

The value of the algebraic expression at the given replacement values.

Solution:

22.

Explanation:

1) Concept:

Replace the variable with the given replacement values and perform the indicated operation. That will give the value of the expression.

Use the order of operations to simplify the expression, as it has more than one operation.

2) Given:

$3x+y$ when $x=6$ and $y=4$.

3) Calculation:

Replace $x$ with $6$  and $y$ with $4$ in the expression $3x+y$.

$3x+y =3 \left(6\right)+4$.

By using the order of operations, perform multiplication first:

$=18+4$.

Finally, add:

$=22$.

Thus, the value of the algebraic expression $3x+y$ when  $x=6$ and $y=4$  is  $22$.

Final statement:

Thus, the value of the algebraic expression $3x+y$ when  $x=6$ and $y=4$  is  $22$.