Our body systems are interconnected and dependent on

each other!It takes all the systems for human

growth and development.

How is this related to a system of linear equations?

Think back to linear equations! Given y = 2x – 3, a "solution" to this equation was any (x, y)

point that "worked" in the equation, made the equation TRUE!

y = 2x – 31 = 2(2) – 31 = 4 – 3

1 = 1(2,1) is a solution since the statement is true!

Graphing is one of many methods used to solve a linear system.

Solving Linear Systems by Graphing

Linear Systems Intersect at (3,0)

−=

+−=

23

2

3

xy

xy

The equations must be in slope-intercept form: (y = mx + b)

Graph the system. Find the point(s) of intersection. If they DO NOT INTERSECT … PARALLEL Lines produce NO SOLUTION b/c

there are NO POINTS in common!

SAME Lines produce MANY SOLUTIONS b/c they share ALL POINTS!

After reading the material in this topic, it is time to check your knowledge. 

You may repeat the practice until you have received a score of 80 or above!

Once you have successfully completed this assignment, you can move to the Mastery Assignments.