Upload
milton-lindsey
View
212
Download
0
Embed Size (px)
Citation preview
Systems of Equations
What you should be able to answer after learning about systems of equations…..
A gym membership at one gym costs $10 every month plus a one-time membership fee of $15, and a gym membership at a another gym costs $4 every month plus a one-time $40 membership fee. After about how many months will the gym membership cost the same amount?
Definitions• A System of Linear Equations consists of two or
more linear equations that have the same variables.
• A Solution of a System of Linear Equations is any order pair that satisfies all the equations.
• A Consistent System has at least one solution.
• An Independent System has exactly one solution.
• A Dependent System has infinitely many solutions.
• An Inconsistent System has no solution.
Special Cases
• One Point of intersection.
• One solution
• Consistent
• Independent
• Different Slope
• The same line
• Infinitely many solutions
• Consistent
• Dependent
• Coincident Lines
• Same slope
• Same Intercept
• Parellel Lines
• No Intersection
• No Solution
• Inconsistent
• Same slope
• Different Y-Intercept
Steps to find solution
• Change both equations to slope intercept form (if needed)
• Graph the lines using the y-intercept and slope.
• Y = mx + b m = slopeb = y – intercept (starting point)