5. Graphical Solution of non-Linear Systems

A non-linear graph is a curve.

In this section, we see how to solve non-linear systems of equations (those involving curved lines), using a graph. Our answer will probably be approximate, unless we use a graphics calculator or a computer package.

 

Example

Solve the system of equations graphically:

3xy = 4

y = 6 − 2x2


Here is the LiveMath solution to this problem.

LIVEMath


And now for the "ordinary" answer:

Answer


Exercises

1 Solve graphically. Estimate your answer.

y = x2

xy = 4


Answer



2 Solve graphically. Estimate your answer:

y = 4x - x2

y = 2 cos x


Answer




Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!

Given name: * required

Family name:

email: * required

See the Interactive Mathematics spam guarantee.

Recommended Math DVDs

get MathTutorDVDs

Easy to understand math lessons on DVD.
Broad range of math topics. Try before you commit.
MathTutorDVD.com


Book mark this page in Del.icio.us, Furl, Digg, StumbleUpon, whatever...


Didn't find what you are looking for? Try search:


Need a break? Play a math game. Well, they all involve math... No, really!

dumbolf memoTST bola shadow factory mindfields trick-hoops-challenge crystal clear