Answer:
Greatest possible number of solutions of these set of equations are 2
Step-by-step explanation:
We have been given two functions in the question.
x² + y² = 9
9x + 2y = 16
We know that the equation of circle is given by:
(x - h)² + (y - k)² = r²
However, if (h, k) is equals to (0, 0), the equation of circle becomes:
x² + y² = r²
Which is similar to the fist equation
x² + y² = 3²
Hence first equation is a circle.
As the second equation is a linear equation, it is simply a line.
We know that a line passing through the circle can intersect it at only 2 points.
Where points of intersection between both circle and line shows the solution.
So.
There are 2 possible solution to this set of equations
