Does Equations Have Solutions?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Does equation have no solutions?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

How do you know if an equation has solutions?

When finding how many solutions an equation has you need to look at the constants and coefficients. The coefficients are the numbers alongside the variables. ... If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.