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Chapter 11: Q. 11.73 (page 1142)

Solve the system by using elimination:

x2+y2=9x2-y=9

Short Answer

Expert verified

The solutions of the system are(-3,0),(3,0),(-22,-1),(22,-1).

Step by step solution

01

Step 1. Given Information

The given system isx2+y2=9x2-y=9.

02

Step 2. Subtract the Equations

  • The coefficients of x2in both the equations is equal.
  • So, subtract the equations to elelimnate the variable x.

x2+y2-x2+y=9-9y2+y=0y(y+1)=0y=0,-1

03

Step 3. Solve for x

  • Substitute y=0into x2-y=9 and solve for x.

x2=9x=卤3

  • Substitute y=-1 into the same equation and solve for x.

x2+1=9x2=8x=卤22

  • So, the solutions of the system are(-3,0),(3,0),(-22,-1),(22,-1).

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