The equation −2.4x−1.1=3.7

Question

−
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

\[ x = -2 \]