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Chapter 11: Q. 204 (page 1147)

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

4x2+y2=4y=4

Short Answer

Expert verified

The system has no real solution.

Step by step solution

01

Step 1. Given Information 

The given system of equations is4x2+y2=4y=4

02

Step 2. Substitution 

  • Substitute y=4into 4x2+y2=4and simplify.

4x2+(4)2=44x2+16=44x2+12=0

  • As 02-4(4)(12)<0, there are no real roots of the system.
  • As no real value ofxexists, the system has no solution.

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