To find the value of the expression [tex]\(6x + 8y\)[/tex] given that [tex]\(x = 2\)[/tex] and [tex]\(y = 7\)[/tex], follow these steps:
1. Substitute the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] into the expression:
The given expression is:
[tex]\[
6x + 8y
\][/tex]
Substitute [tex]\(x = 2\)[/tex] and [tex]\(y = 7\)[/tex]:
[tex]\[
6(2) + 8(7)
\][/tex]
2. Evaluate the multiplications:
First, calculate [tex]\(6 \times 2\)[/tex]:
[tex]\[
6 \times 2 = 12
\][/tex]
Next, calculate [tex]\(8 \times 7\)[/tex]:
[tex]\[
8 \times 7 = 56
\][/tex]
3. Add the results of the multiplications:
Add the results from the previous step:
[tex]\[
12 + 56
\][/tex]
4. Calculate the final sum:
Summing these values gives:
[tex]\[
12 + 56 = 68
\][/tex]
Hence, the value of the expression [tex]\(6x + 8y\)[/tex] when [tex]\(x = 2\)[/tex] and [tex]\(y = 7\)[/tex] is [tex]\(68\)[/tex].
