Solving Nonlinear Systems

Question 1

How do you Solve a System by Graphing?

Answer 1

You Graph everything and see where they intersect.

Question 2

When does a System have no Solutions?

Answer 2

When none of the Graphs touch or when no point fits all of the Equations in the System.

Question 3

When does a System have one Solution?

Answer 3

When the Graphs touch at one point.

Question 4

When does a System have two or more Solutions?

Answer 4

When the Graphs touch at two or more points.

Question 5

How do you solve a System?

Answer 5

You find values (if there are any) that fit all parts of the System.

Question 6

What is the Elimination Method?

Answer 6

A method used to solve Systems of Equations in which one variable is eliminated by adding or subtracting two equations of the System.