Chapter ISG, Problem 9.7.5P

To determine

To solve system graphically.

Answer to Problem 9.7.5P

They cross at $x=0$ and $x=4$

Explanation of Solution

Given information:

  $x^2+y^2=16$

  $x+y=4$

Calculation:

  $x^2+y^2=16$

Rewrite

  $x^2+y^2=4^2$

This is equation of circle whose center is at $(0,0)$

Central value

  $x=0$

Table

  

Graph:

  

Clear from graph

They cross at $x=0$ and $x=4$

Points of intersection

  $(0,4)$

  $(4,0)$