How To Solve 2x2 Equations In A Single Step
This method lets you skip conventional substitution/elimination!
The conventional approach to solve 2x2 equations in linear algebra involves elimination/substitution. However, the method that I will be demonstrating in this essay lets you skip these steps, simplifying the effort in the process.
In a strict sense, this method requires two steps. But you will directly arrive at the result for each unknown, with one step for each unknown. First, I will demonstrate the procedure using a simple example. Later, I will cover the mathematics behind it.
The mathematics behind this method is actually profound. So, it is well worth dipping our toes into it. Without any further ado, let us begin.
Solve 2x2 Equations Without Elimination/Substitution
Consider the following 2x2 equation system:
2x + y = 2
x − y = 1
To show you the effectiveness of this method, note that we can directly arrive at the value for ‘x’ as follows:
