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Interactive video lesson plan for: solving systems of equations three ways (KristaKingMath)

Activity overview:

► My Algebra 1 course:

In this we learn how to solve a simultaneous equations, or a system of linear equations, in three different ways: by substitution, by elimination, and by graphing. All three methods will produce the correct solution.

Substitution has us solve one of the equations for one of the variables, and then make a substitution into the other equation to get it in terms of one variable only. After we find the value of that variable, we can plug it back into the first equation to find the value of the other.

Elimination has us add the equations together or subtract one from the other in order to eliminate one of the variables and be able to find the value of the other. Once we've found the value of one of the variables, we can plug it back into either of the original equations in order to find the value of the other variable.

Finally, graphing has us graph both of the linear equations, and then identify the coordinate point where they intersect one another. The point of intersection will be the unique solution of the system of linear equations.

● ● ● GET EXTRA HELP ● ● ●

If you could use some extra help with your math class, then check out Krista’s website //


Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here:


Tagged under: expert,Krista King,graphing,system linear equations,algebra,elimination,calculus,solving 3 ways,systems equations, ,simultaneous equations,substitution,educational

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