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Chapter 11: Q. 202 (page 1147)

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

9x2+y2=9y=x+3

Short Answer

Expert verified

The solution of the system is(0,3),(-0.6,2.4).

Step by step solution

01

Step 1. Given information

The given system is

9x2+y2=9y=x+3

02

Step 2. Substitution 

  • Substitute y=x+3into 9x2+y2=9 and sovle for x.

9x2+(x+3)2=9 9x2+x2+9+6x=910x2+6x=02x(5x+3)=0

  • So,localid="1645720229483" x=0,-0.6.
03

Step 3. Solve for y

  • Substitute x=0into y=x+3 and solve for y.

y=0=3

  • Substitute x=-0.6into y=x+3and solve for y.

y=-0.6=2.4

  • So, the solution of the system is(0,3),(-0.6,2.4).
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