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Chapter 11: Q. 188 (page 1147)

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

y=2x+2y=-x2+2

Short Answer

Expert verified

The solution of the system is(-2,-2)and(0,2).

Step by step solution

01

Step 1. Given Information

The given system of equations isy=2x+2y=-x2+2.

02

Step 2. Graph the Functions

  • Plot the graph of y=2x+2andy=-x2+2on 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 functions intersect at (-2,-2)and(0,2).
  • So, the solution of the system is(-2,-2)and(0,2).

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