Solve each system by substitution how to#
When you start teaching students how to solve by substitution, they truly get confused on why you can just set equations equal to each other if they are in slope-intercept form or why you have to solve for either variable x or y, to do the substitution. If they are in Standard Form: Ax + By = C, then students have to manipulate the equations to rearrange them so that they are in slope-intercept form, but then they just have to graph after that, find the point of intersection (if there is one) and ta-da they are finished.
When students are asked to solve systems of equations by graphing, typically both equations are already in slope-intercept form: y = mx + b, then all they have to do is graph them using a t-chart (table) or the easy method (graph y-intercept first and then the slope). Why substitution? I think because it is the first time students truly have to manipulate more than one equation at the same time followed by several equations that involve substitution and solving.įor example, take Solving Systems of Equations by Graphing. Solving Systems of Equations is one of my absolute favorite topics of Algebra to teach! Teaching all the different methods on how to solve systems of equations has always proven one thing: Students always seem to struggle with solving systems of equations using substitution.
The only hands-on activity that you need to teach solving systems of equations by substitution. Solving Systems of Equations by Substitution
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