Download presentation

1
Systems of Equations

2
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?

3
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.

4
**Special Cases One Point of intersection. One solution Consistent**

Independent Different Slope

5
The same line Infinitely many solutions Consistent Dependent Coincident Lines Same slope Same Intercept

6
Parellel Lines No Intersection No Solution Inconsistent Same slope Different Y-Intercept

7
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 = slope b = y – intercept (starting point)

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google