Answer:
The system of equation has NO SOLUTION.
Since there is no point of intersection between the the graph of two equations.
Step-by-step explanation:
We are given a centered at origin and radius 5.
Hence, the equation of the circle is:
[tex]x^2+y^2=5^2\\\\i.e.\\\\x^2+y^2=25[/tex]
Also we are given a equation of a line as:
[tex]x+2y=12[/tex]
Hence, the line passes through the points (12,0) and (0,6).
So, we will plot the graph of the system of equations i.e. a circle and a line and see the possible point of intersections of the two equations and find the solution.
Since, the line does not touch the circle at any point.
Hence, the system of equations has no solution.
