Question

Evaluate the expression at specific values of their
variables.
a − bc + 4a ÷ c
5 a = 2 b = 3
c = 8

Answer 1

To evaluate the expression \( a - bc + \frac{4a}{c} \) with the given values \( a = 2 \), \( b = 3 \), and \( c = 8 \), we will substitute these values into the expression step by step.

1. Substitute the values:
\[
a = 2, \quad b = 3, \quad c = 8
\]
The expression becomes:
\[
2 - (3 \cdot 8) + \frac{4 \cdot 2}{8}
\]

2. Calculate \( bc = 3 \cdot 8 \):
\[
3 \cdot 8 = 24
\]

3. Calculate \( \frac{4a}{c} = \frac{4 \cdot 2}{8} \):
\[
\frac{4 \cdot 2}{8} = \frac{8}{8} = 1
\]

4. Substitute these results back into the expression:
\[
2 - 24 + 1
\]

5. Perform the operations from left to right:
- First, calculate \( 2 - 24 \):
\[
2 - 24 = -22
\]
- Then, add \( 1 \):
\[
-22 + 1 = -21
\]

The final result is:
\[
\boxed{-21}
\]