Question
Evaluate the expression fora=3 b=5 and c=10
6a+4b-3c
6a+4b-3c
Answers
GPT-4o mini
To evaluate the expression \(6a + 4b - 3c\) for \(a = 3\), \(b = 5\), and \(c = 10\), we can substitute the values of \(a\), \(b\), and \(c\) into the expression.
\[
6a + 4b - 3c = 6(3) + 4(5) - 3(10)
\]
Now, calculate each term:
1. \(6(3) = 18\)
2. \(4(5) = 20\)
3. \(3(10) = 30\)
Now substitute these values back into the expression:
\[
18 + 20 - 30
\]
Next, perform the addition and subtraction:
\[
18 + 20 = 38
\]
\[
38 - 30 = 8
\]
Therefore, the value of the expression \(6a + 4b - 3c\) is \(\boxed{8}\).
\[
6a + 4b - 3c = 6(3) + 4(5) - 3(10)
\]
Now, calculate each term:
1. \(6(3) = 18\)
2. \(4(5) = 20\)
3. \(3(10) = 30\)
Now substitute these values back into the expression:
\[
18 + 20 - 30
\]
Next, perform the addition and subtraction:
\[
18 + 20 = 38
\]
\[
38 - 30 = 8
\]
Therefore, the value of the expression \(6a + 4b - 3c\) is \(\boxed{8}\).