Question

Solve the equation.
1.7 q minus 9.5 q plus 1.1 equals negative 61.3
Question content area bottom
Part 1
A.6.747
6.747
B.8
8
C.negative 70
negative 70
D.6.568
6.568

Answer 1

To solve the equation \( 1.7q - 9.5q + 1.1 = -61.3 \), we first combine like terms.

1. Combine the terms involving \( q \):
\[
1.7q - 9.5q = -7.8q
\]
So the equation simplifies to:
\[
-7.8q + 1.1 = -61.3
\]

2. Next, subtract \( 1.1 \) from both sides:
\[
-7.8q = -61.3 - 1.1
\]
\[
-7.8q = -62.4
\]

3. Now, divide both sides by \(-7.8\):
\[
q = \frac{-62.4}{-7.8} = \frac{62.4}{7.8}
\]

4. Calculate \( \frac{62.4}{7.8} \):
\[
q = 8
\]

Thus, the solution to the equation is:
\[
\boxed{8}
\]

The correct answer is B. 8.