Question

evaluate the expression when $a = -1.7$ and $b = -5.9$.
$7b - 6a$

Explanation:

Step1: Substitute the values of a and b

Substitute \( a = -1.7 \) and \( b = -5.9 \) into the expression \( 7b - 6a \).
We get \( 7\times(-5.9) - 6\times(-1.7) \).

Step2: Calculate each term

First, calculate \( 7\times(-5.9) \).
\( 7\times(-5.9) = -41.3 \)
Then, calculate \( 6\times(-1.7) = -10.2 \), so \( -6\times(-1.7) = 10.2 \) (because multiplying two negative numbers gives a positive number).

Step3: Combine the results

Now, combine the two results: \( -41.3 + 10.2 \).
\( -41.3 + 10.2 = -31.1 \)

Answer:

\( -31.1 \)