To solve the equation [tex]\( 4.9x + 4.4 = 19.1 \)[/tex], let's follow these steps:
1. Isolate the term with the variable [tex]\( x \)[/tex]:
[tex]\[
4.9x + 4.4 = 19.1
\][/tex]
First, subtract 4.4 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
4.9x + 4.4 - 4.4 = 19.1 - 4.4
\][/tex]
Simplifying both sides:
[tex]\[
4.9x = 14.7
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Next, divide both sides of the equation by 4.9 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{14.7}{4.9}
\][/tex]
Simplifying this fraction, we get:
[tex]\[
x = 3
\][/tex]
Therefore, the solution to the equation [tex]\( 4.9x + 4.4 = 19.1 \)[/tex] is:
[tex]\[
x = 3
\][/tex]
So the correct answer is [tex]\( x = 3 \)[/tex].
