There is 3 possible solutions to a system of linear equations:
One solution - two distinct lines that do not share y-intercept or slop intersect at a point
No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel
Infinite solution - one distinct function represented two ways which in simplest form share the same slope and y-intercept
These equations do not have the same slope or y-intercept. When graphed they intersect at one point. You can also solve through elimination and substitution to find the solution.
