Fill in the Blanks SYSTEM OF EQUATIONSOnline version This is an activity where the students must fill the gaps and check if they have understood the theory about this unit. by Milagros Fernández Jiménez 1 algebraically same substitution infinitely one graphically elimination intersect parallel zero You can solve a system of linear equations and . To solve a system of equations means to determine if the system has , or many solutions , and to find the solution ( s ) if they exist . The two algebraic methods are : and . There are three things that can happen when we graph two lines : - 1 solution : this is the most common situation and it involves lines that exactly in one point . - No solution : this only happens when the lines are . - Infinite solutions : this is the rarest case and only occurs when you have the line .