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Solve the system by graphing,

Short Answer

Expert verified

Solution of the system is(-6,1).

Step by step solution

01

Step 1. Given information,

x=-6→Linear equation

(x+3)2+(y-1)2=9→Equation of a circle

02

Step 2. Graph the equations

Graph the circle,

(x+3)2+(y-1)2=32

Center of the circle →(-3,1)

Radius of the circle →3

Equation of the lines →x=-6

03

Step 3. Solutions of the system,

Solution of the system of equations is(-6,1).

04

Step 4. Revalidate the solutions

Substitute the points in the equations,

For(-6,1),

x=-6-6=-6

True.

role="math" localid="1645640351027" (x+3)2+(y-1)2=9(-6+3)2+(1-1)2=9 9+0=99=9

True.

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