The first equation is simplified and the variable x is isolated, resulting in x = (x/2 - 21)/0.1 as the reduced form.
To solve the given linear equation by substitution, we first simplify the equation and then isolate the variable x.
The given equation is:
0.8(2x + x) + 3(7 - 4.1x) = (x + 21)/2
Simplifying both sides:
1.6x + 0.8x + 21 - 12.3x = (x + 21)/2
Combining like terms:
(1.6x + 0.8x - 12.3x) + 21 = (x + 21)/2
(0.1x) + 21 = (x + 21)/2
Now, isolate the variable x:
0.1x + 21 - 21 = (x + 21)/2 - 21
x = (x/2 - 21)/0.1
This is the reduced form of the first equation in the system, with x isolated.
The probable question may be:
Given the system of linear equations:
\[ \text{A) } 0.8(2x + x) + 3(7 - 4.1x) = \frac{x + 21}{2} \]
First step to solve the system by substitution:
Solve the first equation in the system for one of its variables. Write the equation with an isolated variable as your response below. Do not use any spaces in your answer.