Question

The equation 0.24x−0.74=−1.1
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24x=

Add 0.74 to both sides.
x=

Divide both sides by 0.24.

Answer 1

Let's solve the equation step by step to fill in the blanks.

Starting with the equation:

\[
0.24x - 0.74 = -1.1
\]

1. **Add 0.74 to both sides**:

\[
0.24x - 0.74 + 0.74 = -1.1 + 0.74
\]

That simplifies to:

\[
0.24x = -1.1 + 0.74
\]

Calculating \(-1.1 + 0.74\):

\[
-1.1 + 0.74 = -0.36
\]

So, we have:

\[
0.24x = -0.36
\]

**Fill in the first blank**:

\[
0.24x = -0.36
\]

2. **Now solve for \(x\)**:

Divide both sides by \(0.24\):

\[
x = \frac{-0.36}{0.24}
\]

Calculating \(-0.36 \div 0.24\):

\[
x = -1.5
\]

**Fill in the second blank**:

\[
x = -1.5
\]

So, the final filled-in solution is:

\[
0.24x - 0.74 = -1.1 \\
0.24x = -0.36 \\
x = -1.5
\]