Question

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

−2.4x=

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

x=

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

Answer 1

To solve the equation \(-2.4x - 1.1 = 3.7\), we'll perform the steps as follows:

1. **Add 1.1 to both sides:**

\(-2.4x - 1.1 + 1.1 = 3.7 + 1.1\)

This simplifies to:

\(-2.4x = 3.7 + 1.1\)

Now calculate \(3.7 + 1.1\):

\(3.7 + 1.1 = 4.8\)

So we have:

\(-2.4x = 4.8\)

2. **Divide both sides by -2.4:**

\(x = \frac{4.8}{-2.4}\)

Now calculate \(\frac{4.8}{-2.4}\):

\(4.8 \div -2.4 = -2.0\)

So, the completed solution is:

1. For \(-2.4x = \), the answer is \(4.8\).
2. For \(x = \), the answer is \(-2.0\).

Final answer:
- \(-2.4x = 4.8\)
- \(x = -2.0\)