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Chapter 11: Q. 195 (page 1147)

In the following exercises, solve the system of equations by using graphing.

y=-4x2+y2=16

Short Answer

Expert verified

The solution of the system is(0,-4).

Step by step solution

01

Step 1. given information

The given system of equations isy=-4x2+y2=16.

02

Step 2. Graph the Equations

  • Plot the given equations on the same graph.

  • The blue line represents the first equation and the red line represents the second equation of the system.

03

Step 3. Determine the point of intersection

  • From the graph, it is observed that the point of intersection of both equations is (0,-4).
  • So, the solution of the system is(0,-4).

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