Systems+of+Linear+Equations

media type="youtube" key="KNwwu5wjcaA" height="390" width="480" PB - TD Great website for solving systems or equations using substitution- PB TP []

Make sure you use to different colors. So you can tell the difference. PB-HP [] Worsheet for graphing linear equation in standard form - PBLE Good website and worksheet for practiceElimination [|Substitution]-PB SO

When finding slope with two points subtract both of the numbers in the x position and both of the numbers in the y position. If you have forgotten, (x,y), so for example if the two points were (9,5) and (6,3) you would subtract 9-7 and 5-2. You get two numbers, 3 and 2. You then put them in fraction form with the y number on top of the x. In this case, ⅔ is the slope for this equation. Here is a link to help you practice finding slope from two points. [|Finding Slope From Two Points]PF EM Solving Systems of equations by Graphing PB DM

Always remember to eliminate variables that cross each other out in systems. Ex: -x+8=y x-23=-2y X's crossout when doing adding of both equations. It ends up being 15=3y, or y=5 and x=3 PF TA

Two or more linear equation together form a SYSTEM of equations. Any point common to all the lines is a SOLUTION of the system. There are three (3) different types of solutions:

One Solution (Independent) -Two lines that intersect at one point- Solution= the intersection point (x,y)

No Solution (Inconsistent)-Two lines that are parellel- Solution="No Solution"

Infinitely Many Solutions (Dependent)-Two lines that are really the same line- Solution=any point on the line PF CB

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 * Substitution Method: Substitute the value of a variable in one equation into the place in another. First simplify one equation so that x is isolated. Then put the value on the other side of x in the second equation, replacing it. That way, there is only one variable instead of two. Simplify to find what y equals, then substitute that value into one of the original equations to find what x is.**=====

**PF SL**

 * Here's some worksheets for systems of linear equations:**
 * [] PF-PN**

Make sure you use two diffreent colosr so you can tell the difference between equations. PB-HP

Here is a website for sloving a set of equations using elimination PB TP []