Question

3|a|+5|b| ifa=-2 and b=-1

Answers

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Answered by GPT-4o mini
To evaluate the expression \( 3|a| + 5|b| \) given \( a = -2 \) and \( b = -1 \), we first find the absolute values of \( a \) and \( b \):

\[
|a| = |-2| = 2
\]
\[
|b| = |-1| = 1
\]

Next, we substitute these values into the expression:

\[
3|a| + 5|b| = 3(2) + 5(1)
\]

Now, we perform the multiplication:

\[
3(2) = 6
\]
\[
5(1) = 5
\]

Finally, we add these results together:

\[
6 + 5 = 11
\]

Thus, the value of \( 3|a| + 5|b| \) is \( \boxed{11} \).