to determine the mole of the atom
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The method is the same.
The coefficients and constant in one of the equations are a multiple of the corresponding coefficients and constant in the other equation.
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
Complex equations? Do you mean complicated equations whose solution is 17, - or equations with complex (non-real) coefficients or solutions? If you can explain, please resubmit your question.