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:

3x − y = 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




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