Evaluate the expression [tex]\(5x + 3y\)[/tex] when [tex]\(x = 4\)[/tex] and [tex]\(y = 8\)[/tex].
Step-by-step solution
1. Substitute the given values into the expression.
[tex]\[ 5x + 3y \quad \text{when} \quad x = 4 \quad \text{and} \quad y = 8 \][/tex]
[tex]\[ 5(4) + 3(8) \][/tex]
2. Perform the multiplications:
- Multiply [tex]\(5\)[/tex] by [tex]\(4\)[/tex]:
[tex]\[ 5 \times 4 = 20 \][/tex]
- Multiply [tex]\(3\)[/tex] by [tex]\(8\)[/tex]:
[tex]\[ 3 \times 8 = 24 \][/tex]
3. Add the results of the multiplications:
[tex]\[ 20 + 24 = 44 \][/tex]
Therefore, the value of the expression [tex]\(5x + 3y\)[/tex] when [tex]\(x = 4\)[/tex] and [tex]\(y = 8\)[/tex] is [tex]\(44\)[/tex].