Question

The equation −2.4x−1.1=3.7
−
2.4
𝑥
−
1.1
=
3.7
is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−2.4x−1.1=3.7
−
2.4
𝑥
−
1.1
=
3.7

−2.4x=
−
2.4
𝑥
=
Add 1.1 to both sides of the equation. If the answer is a decimal value, enter the decimal.

x=
𝑥
=
Divide both sides of the equation by -2.4. If the answer is a decimal value, enter the decimal.

Answer 1

Let's solve the equation step by step.

Starting with the equation:

\[
-2.4x - 1.1 = 3.7
\]

### Step 1: Add 1.1 to both sides

\[
-2.4x = 3.7 + 1.1
\]

Calculating the right-hand side:

\[
3.7 + 1.1 = 4.8
\]

So we have:

\[
-2.4x = 4.8
\]

### Step 2: Divide both sides by -2.4

\[
x = \frac{4.8}{-2.4}
\]

Calculating the division:

\[
\frac{4.8}{-2.4} = -2
\]

### Final Answers

1. After adding 1.1 to both sides, we have:

\( -2.4x = 4.8 \)

2. After dividing by -2.4, we obtain:

\( x = -2 \)

So the complete solution is:

\[
-2.4x = 4.8
\]

and

\[
x = -2
\]