8.EE.8

8.EE.8  Analyze & Solve pairs of simultaneous equations

A. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs because points of intersection satisfy both equations simultaneously

B. Solve systems of two linear equations in two variables algebraically, and estimate the solutions by graphing the equations. Solve simple cases by inspections. For example, 3x + 2y = 5 and 3x + 5y = 6 have no solutions because 3x + 2y cannot simultaneously be both 5 and 6.

C. Solve realworld and mathematical problems leaden to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

So what does this look like? Basically, you simply need to graph the equations on the same coordinate plane, and once you do, look to see where they touch each other, or where they intersect.

This section has two parts. The first part is a method to solve them called substitution. This process is shown in the video here.
When you solve a system, sometimes there are special cases. Here is a video explaining them.

Realworld applications of word problems are very abundant and useful. This video just shows you how you could be using them in some ways. We will cover many more in class.
