3 Different Types of Solutions When solving a System of Equation:

1. One solution: When there is only one solution to a system of equations.
Ex. 2x+3y=17
Y=6x-21. The solution: (4,3) is the only point which
Satisfies both of these lines.
2. No Solution: When there is no solution to a system of equations. They are parallel so no point satisfy the equations.
Ex. X=2y-3
1.5x-3y=0 4.5 does not equal 0.
3. All real numbers: When there are infinitely many solutions to a system of equation. They are always the same equation.
Ex. 3x-y=13
2y=6x-26. These equations will have the same slope,
same y-intercept, same line.