New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here


by: Marquise Graham


Marquise Graham
GPA 3.8


Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Class Notes
25 ?




Popular in Course

Popular in Calculus and Pre Calculus

This 5 page Class Notes was uploaded by Marquise Graham on Saturday September 19, 2015. The Class Notes belongs to MAC 1105 at University of Florida taught by Staff in Fall. Since its upload, it has received 37 views. For similar materials see /class/207049/mac-1105-university-of-florida in Calculus and Pre Calculus at University of Florida.




Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/19/15
L18 Systems of Equations A system of equations is a set of two or more equations each containing one or more variables The solution set of a system of two equations in two variables is the set of all ordered pairs x y that satisfy both equations Geometrically they are points of intersection of the graphs of the equations Thus the solution set of the system of two equations in two variables is the set of all points of intersection of their graphs if any If a system has at least one solution it is called consistent otherwise it is called inconsistent Systems of Linear Equations in Two Variables A system oftwo linear equations in two variables represents two lines There are three possibilities I The lines intersect at one point 7 one solution the system is consistent and the equations are called independent 2 The lines are coincident 7 in nitely many solutions the system is consistent and the equations are called dependent 3 The lines are parallel 7 no solutions the system is inconsistent We will consider two methods of solving the systems method of substitution method of elimination Example Solve by substitution Graph the equations Example Solve by elimination x 7 5y 7 x 7 2y 5 3xy7 6x2y9 x2y3 2x4y5 Example Solve the system l 2xyl 6x3y3 Computing Wind Speed Traveling against the Wind a cyclist goes 45 miles in 4 hours With the Wind on the return trip he takes 3 hours What is the speed of the cyclist in still air and What is the speed of the Wind Chemist Mixing Solutions A chemist has one solution containing a 10 concentration of acid and the second solution containing a 15 concentration of acid How many ml of each should be mixed in order to obtain 10 ml of a solution containing a 12 concentration of acid Banking A college student has 3000 in two different savings accounts with interest rates of 55 and 6 If his interest per year is 17410 how much is deposited in each account Nonlinear System of Two Equations in Two Variables x2 y2 25 2x 10 A nonlinear system 1s a system of equat1ons 1n y which at least one of the equations is not linear Example Solve the nonlinear systems Graph each equation and show the points of intersection if any y2x yx2l 53944 1 2 3 4 a 198 199


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.