1. This system of equations has infinitely many solutions because the second equation is a multiple of the first equation.
2. This system of equations has no solutions because the slopes of the two equations are equal but the y-intercepts are different.
3. This system of equations has one unique solution because the two equations are not multiples of each other and have different slopes.
Classify the systems of equations based on the number of solutions they have.
1. x + 2y = 1
3x + 6y = 3
2. 2y - x = 12
2y - 2x = 10
3. 2/5y - 8/5x 1
2y - 3x = 5
1 answer