To solve using matrices, you're usually given a set of 2 or more linear equations. Once you have that, isolate the variables and write numerically in the form of a matrix, dividing the right side from the left. Ex. : 2x + 3y = 7; 4x - y = 2 Isolating variables: [2 3 | 7]
[4 -1 | 2] From there onwards, it should be easy to solve.
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You can solve the system of equations with three variables using the substitute method, or using matrix operations.
When you construct and use a table to solve a problem, you are using a numerical approach.
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There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
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