To solve this equation, we need to first simplify the expression on both sides before isolating the variable "x."
Starting with the left side of the equation:3.8 - x / 5.5
We can rewrite this as:(3.8 * 5.5 - x) / 5.5
Calculating the numerator:3.8 * 5.5 = 20.9
So the left side becomes:(20.9 - x) / 5.5
Now, let's simplify the right side of the equation:3.6 - x / 11
This can be rewritten as:(3.6 * 11 - x) / 11
Calculating the numerator:3.6 * 11 = 39.6
So the right side becomes:(39.6 - x) / 11
Now our equation looks like:(20.9 - x) / 5.5 = (39.6 - x) / 11
To get rid of the fractions, we can cross multiply:11(20.9 - x) = 5.5(39.6 - x)
Expanding both sides:229.9 - 11x = 217.8 - 5.5x
Now, we can isolate the variable "x" by bringing all terms involving "x" to one side:11x - 5.5x = 229.9 - 217.85.5x = 12.1x = 12.1 / 5.5x = 2.2
Therefore, the solution to the equation 3.8 - x / 5.5 = 3.6 - x / 11 is x = 2.2.
To solve this equation, we need to first simplify the expression on both sides before isolating the variable "x."
Starting with the left side of the equation:
3.8 - x / 5.5
We can rewrite this as:
(3.8 * 5.5 - x) / 5.5
Calculating the numerator:
3.8 * 5.5 = 20.9
So the left side becomes:
(20.9 - x) / 5.5
Now, let's simplify the right side of the equation:
3.6 - x / 11
This can be rewritten as:
(3.6 * 11 - x) / 11
Calculating the numerator:
3.6 * 11 = 39.6
So the right side becomes:
(39.6 - x) / 11
Now our equation looks like:
(20.9 - x) / 5.5 = (39.6 - x) / 11
To get rid of the fractions, we can cross multiply:
11(20.9 - x) = 5.5(39.6 - x)
Expanding both sides:
229.9 - 11x = 217.8 - 5.5x
Now, we can isolate the variable "x" by bringing all terms involving "x" to one side:
11x - 5.5x = 229.9 - 217.8
5.5x = 12.1
x = 12.1 / 5.5
x = 2.2
Therefore, the solution to the equation 3.8 - x / 5.5 = 3.6 - x / 11 is x = 2.2.