# Week 17, Math 10

This week in math 10 we learned about systems, systems is equations of a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

There are 3 ways to solve a System:

Graphically: When solving a system graphically you use knowledge from the functions unit and convert both of the 2 equations that you have to y-intercept form which is y=mx+b this will give you the slope and y-intercept to graph both lines and find the point of intersection.

Subsitution: When you use the substitution method you want to isolate one of the variables in one of the equations. You want to choose the easiest way, so look for variables with a coefficient of 1 and avoid negatives this will also all help to avoid fractions. Once you have isolated one of the variables substitute the answer in to one of the variables. after you subsitute one of the variables you will then find the anwser for both of the coefficient.

Elmination: When doing the elimination method you are to cancel and make 0 pairs for 1 of the variables. In order to do this you need to find a common factor just like you would find a common denominator for fractions. Before doing this always remember adding is easier. Finally you will find both variables.