An infinite solution can be produced if the lines are coincident and they must have the same y-intercept. The two lines having the same y-intercept and the slope, are the exact same line. In simpler words, we can say that if the two lines are sharing the same line, then the system would result in an infinite solution.

A system of equations that has infinite solutions will always yield an identity when solved (such as 0=0). Graphically, a system of equations with infinite solutions is two lines or planes lying on each other. An example would be: x+y=1 and 2x+2y=2.

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

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