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.
Answers
GPT-4o mini
To solve the equation \(-2.4x - 1.1 = 3.7\), let's complete the steps specified.
1. Start with the original equation:
\[
-2.4x - 1.1 = 3.7
\]
2. Add \(1.1\) to both sides of the equation to isolate the term with \(x\):
\[
-2.4x = 3.7 + 1.1
\]
Calculating the right side gives:
\[
-2.4x = 4.8
\]
3. Now, divide both sides by \(-2.4\):
\[
x = \frac{4.8}{-2.4}
\]
Calculating this division gives:
\[
x = -2
\]
So, the completed solution with the numbers filled in is:
\[
-2.4x - 1.1 = 3.7
\]
\[
-2.4x = 4.8
\]
\[
x = -2
\]
1. Start with the original equation:
\[
-2.4x - 1.1 = 3.7
\]
2. Add \(1.1\) to both sides of the equation to isolate the term with \(x\):
\[
-2.4x = 3.7 + 1.1
\]
Calculating the right side gives:
\[
-2.4x = 4.8
\]
3. Now, divide both sides by \(-2.4\):
\[
x = \frac{4.8}{-2.4}
\]
Calculating this division gives:
\[
x = -2
\]
So, the completed solution with the numbers filled in is:
\[
-2.4x - 1.1 = 3.7
\]
\[
-2.4x = 4.8
\]
\[
x = -2
\]