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Chapter 11: Q. 196 (page 1147)

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

x=2(x+2)2+(y+3)2=16

Short Answer

Expert verified

The solution of the system is (2,-3).

Step by step solution

01

Step 1. Given Information

The given system of equations is

x=2(x+2)2+(y+3)2=16

02

Step 2. Graph the equations

  • Plot both 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(2,-3).
  • So, the solution of the system is(2,-3).

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a)72x5y6

(b)96r11s55

(c)128u7v126

Use the Quotient Property to simplify square roots.

(a) 27p2q108p4q3

(b)16c5d7250c2d23

(c)2m9n7128m3n6

In the following exercises, factor each trinomial of the form x2+bx+c.

a2+14a+33

Simplify:

(a)(-256)14

(b)-25614

(c) (256)-14

Solve16y2=32y3+2y
See all solutions

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