Question

Solve the equation.
1.7 q minus 2.8 q plus 1.3 equals negative 10.8
Question content area bottom
Part 1
A.4.929
4.929
B.negative 13
negative 13
C.4.321
4.321
D.11

Answer 1

Let's solve the equation step by step:

Starting from the given equation:

\[ 1.7q - 2.8q + 1.3 = -10.8 \]

Combine the like terms (the coefficients of \( q \)):

\[ (1.7 - 2.8)q + 1.3 = -10.8 \]

Calculating \( 1.7 - 2.8 \):

\[ -1.1q + 1.3 = -10.8 \]

Next, let's isolate \( q \) by moving \( 1.3 \) to the right side of the equation:

\[ -1.1q = -10.8 - 1.3 \]

Calculating \( -10.8 - 1.3 \):

\[ -10.8 - 1.3 = -12.1 \]

So our equation now looks like:

\[ -1.1q = -12.1 \]

Now, divide both sides by \(-1.1\) to solve for \( q \):

\[ q = \frac{-12.1}{-1.1} \]

This simplifies to:

\[ q = 11 \]

The answer is:

**D. 11**