Question

How many real solutions does this system of equations have? x²+y²=36

3x-y+1=0
A.0
B. 2
C. 3
D. 1

Answer 1

Answer: A. 0

This system of equations has no real solutions. The equation x² + y² = 36 represents a circle with center (0,0) and radius 6, while the equation 3x - y + 1 = 0 represents a line in a 2-dimensional plane. Since a line and a circle do not intersect at exactly one point in general, this system of equations have no common point, and therefore no real solutions.

Explanation: