Question

what are the similarities and differences of linear and non linear systems of equations? @dan815

Answer 1

x+y=2
2x+3y=1
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x^2+y^2=2
2x^3+3y^4=1
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The general methods such as substitution and elimination still apply to both equations. However for a linear set of equations it is easier and more clear to see the form of the solution. For example 2 lines can intersect at a point, or overlap or be parallel. For 2 non linear equations, a multiple of things can occur, and the number of solutions and the form of solutions can greatly vary like in the case of a multiple peaked slope intersection through the circumference of a circle. Also there can be complex solutions, and it is not always possible to solve non linear equations analytically.

Answer 2

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