Question

Use complete sentences to describe the possible solution(s) to a system of equations that includes the equation of a circle and a line.

Answer 1

Answer:

A general  line can be represented as , y= m x + c

And general equation of circle is , ax²+by²+2 g x +2 f y +c=0

Now there are following possibilities

1. A line and circle have no common point of intersection, that is no solution.

2. A line may be a tangent to a circle, that is one common point, one solution.

3. A line may intersect a circle maximum at two points, that is 2 solution.

Image is depicted below.

Answer 2

SOS

Answer:

When an equation has two variables, both of the first degree, an unlimited number of solutions can be found. The solutions are written as ordered pairs. For any x value, there can be any y value with it, as long as it fits the equation.

x + y = ∞.

Hope this helps!!!