Asked • 09/30/24

IM 3 solving systems of 3 equations

Jack M.

Hello! Could you please respond to this comment with an example problem so we tutors can help you further? Thanks!
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09/30/24

Brenda D.

tutor
Brendan D has answered these in a couple of posts already. Since you’ve posted again did you also want to see Matrices? Are you looking for instructions and methods of solving Systems of Equations with your questions? I agree with Jack M above you do not present a specific problem or example so we don’t know what methods are being covered in your class. If you are learning Graphing, Substitution, and Elimination to Solve Systems of Equations and a tutor shows you how to use a Matrix instead will it help you? I did notice however that you list Algebra 2 and suspect that you may be learning Matrix Math at that level. Please respond.
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09/30/24

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Nadine L. answered • 10/01/24

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Mathlady. Over 20 years tutoring kids in Algebra and pre-calc.

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Three equations look intimidating, and your teacher may have told you to use matrices to solve it. But there is an easier way:


Take any two equations and multiply as needed to add them and get rid of one of the unknowns.

Take the third equation and pick either of the other two original equations, and do the same thing; eliminating the SAME unknown.

Now you have two equations with two unknowns, which you know how to solve. As soon as you've solved for say X and Y, put those values in one of the original three equations to find Z.

Lastly, insert X, Y, and Z in the other equations ... just to check. If all your arithmetic was correct, everything should fit.

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