Learning objectives

Solve a system of two or three linear equations in the same number of unknowns using the equation solver on a graphic display calculator

Check a technology solution by substituting it back, knowing that an examination system always has a unique solution so an error message first signals a mis-keyed coefficient, and relate a two-equation system with no solution or infinitely many to parallel or coincident lines

Solve a polynomial equation numerically or graphically with technology, listing all the real roots to the required accuracy

Set up a system of equations from a worded context, such as mixing three products to meet given totals, solve it and check the answer against the context

Decide whether a solution obtained by technology is reasonable, rejecting negative or non-integer values where the context does not allow them

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