mathematical equations to solve the unsolvable
true
It is not always the best method, sometimes elimination is the way you should solve systems. It is best to use substitution when you havea variable isolated on one side
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
Those are known as conic section, and they are described by equations of degree 2.
Those are known as conic section, and they are described by equations of degree 2.
An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.
True
literal equations? maybe you mean linear equations? Please edit and resubmit your question if that is what you meant.
Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.
That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.
The best ways to remember chemistry equations is through flashcard memorization or acronyms.