Method of Determinants is considered as an easier solution when you have more than two equations to solve:

Let’s consider mentioned three equations:
Solving Equations by Determinants-Cramer’s Rule 1

Where I1, I2 and I3 are the unknown, we need to solve the equation for.

Let’s write the same in the matrix form:
Solving Equations by Determinants-Cramer’s Rule 2

We can calculate the value of the unknowns, I1, I2 and I3 by the following matrix calculation:
Solving Equations by Determinants-Cramer’s Rule 3
Considering the value of △ as a non-zero figure, this rule can be applied to any system that has n number of linear equations. This rule is known as Cramer’s Rule.

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