Final answer:
To solve for 'x' in an algebraic equation, one should simplify the equation, substitute known quantities, solve, and then check if the solution is reasonable. Examples include setting up and solving proportions or using a graphing calculator for more complex equations.
Step-by-step explanation:
The question provided appears to be related to solving an algebraic equation, which is a fundamental concept in mathematics. Since the original question contains typographical errors and irrelevant information, we'll focus on the core process of solving for an unknown variable, which is ‘x’. Here is a general approach to solving algebraic equations:
- Eliminate terms wherever possible to simplify the algebra.
- Substitute the known quantities, along with their units, into the appropriate equation and obtain numerical solutions complete with units.
- Check the answer to see if it is reasonable: Does it make sense?
For example, if we have a proportional relationship such as converting gallons to quarts, the approach would be:
- First, set up a proportion. 1 gallon/4 quarts=3 gallons/x quarts
- Next, cross multiply to solve for x. 1/4-3/x
- 1x=3x4, hence x=12 quarts.
In some cases, when equations become more complex, a graphing calculator may be used to find the zeros of the function, which correspond to the value of x, as the provided example suggests x=.027 atm. However, for more straightforward equations, algebraic manipulation should suffice to find the value of x without the need for technology. Remember to always substitute your solution back into the original equation to verify that it makes sense and is correct.