Question

Is it easier to solve systems of non-linear equations by graphing or algebraically? And can you explain why in your opinion?

Answer 1

For most non-linear equations, you can't really "solve" them by graphing because the results you get are typically imprecise. (It's almost impossible to distinguish between graphs of two equations intersecting at, for example, (-1.45, 2.72) versus (-1.5, 2.7) if you're simply looking at points of intersection on a graph. And it's unrealistic to think that any but the most contrived situations will result in graphs that intersect nicely at grid points that happen to consist of pairs of integers. So although in some cases it may be "easier" to solve by graphing, if you want to get a correct and accurate answer, you pretty much have to solve algebraically.

Answer 2

Thank you! That was a nice answer =3 Medal awarded