Since their y-intercept is different, there is only 1 solution to the system.īut, there are many ways to solve something like this, what Saul did was following the exercise clue: 'Albus takes several correct steps that lead to the equation 5y=-5', which means that Albus joined both lines 'behaviors' (equations) and ended up with a single equation (behavior).Īnd if you observe carefully, you'll notice that what he did was a subtraction.Īnd that leads us to a different way of knowing if a system equation has one or more solutions, by solving them instead of analyzing its behaviors. To check their y-intercept you can assume x is zero for all of them. Since there is 2 equations in the system, we can say that there are 2 lines as well.

To validate if the system has indeed only one solution, all of the lines within the system must have a different y-intercept. Those 2 equations forms a system of equations right? For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.If you mean the one before the last exercise, try to think this way: 8.EE.C.8.B : Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. 8.EE.C.8.A : Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.ģ. 8.EE.C.8 : Analyze and solve pairs of simultaneous linear equations.Ģ. This page not only allows students and teachers view Solving systems by substitution | Systems of equations | 8th grade but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.ġ.

Solving systems by substitution | Systems of equations | 8th grade is a free educational video by Khan Academy.It helps students in grades 8th practice the following standards 8.EE.C.8,8.EE.C.8.A,8.EE.C.8.B.

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