Question

Based on the type of equations in the system, what is the greatest possible number of solutions? startlayout enlarged left-brace 1st row x squared y squared = 9 2nd row 9 x 2 y = 16 endlayout 1 2 3 4

Answer 1

The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.

What is the solution?

A solution is a set of values assigned to the unknown variables that ensure the equation's equality.

To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.

The given system of equation is;

$x^2+y^2=9\\9x+2y=16$

The standard equation of the  circle is;

$\rm (x-h)^2+(y-k)^2=r^2$

On comparing the given equation with the standard equation;

The first equation shows the center is at origin(0,0). and radius is 3.

The second equation shows the given equation is a straight line.

As we know that the straight line can only intersect a circle at a maximum of 2 points.

Hence the possible number of solutions to the equations in the system is 2.

To learn more about the solution refer to the link;

https://brainly.com/question/545403