Question

Determine the number of solutions for the system of equations. 1. { y=2/5x^2, y=x-2. 2. {y=3x^2, y-3x=-2

Answer 1

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.