X y 10 z 4. A system has no solution if the equations are inconsistent they are contradictory. We again get a statement that is always true and therefore we know there are infinite solutions.
A system of linear equations has infinitely many solutions if the lines have the same slope and the same y-intercept.
X y 10 z 4. So there are infinitely many solutions. The augmented matrix is. It is usually represented by the symbol.