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Chapter 2-3 Notes - Page 1 of 2 Math 1332 College...

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Page 1 of 2 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 01/30/07 Math 1332 - College Mathematics Chapter 2-3 Notes Linear Equations Equation – is a statement that two mathematical expressions are equal. Equations always have an equals sign. Ex: x + 15 = 9x – 1, x 2 –2x + 1 = 2x, xy + x 2 = y 3 + x, 1 + 5 = 6 Note Æ equations can be linear or non-linear Solving equations Solve an equation – find all values for the variable that make the equation a true statement. Solutions – are the values you find that make the equation a true statement. Solution set – the set of all solutions. Satisfies – The found value ( x ) “satisfies” the equation. Equivalent – two equations are equivalent if they have the same solution set. Ex: x + 2 = 5 and x = 3 Contradiction – an equation that has no solutions, which then has an empty solution set. Ex: x + 2 = x Identity – an equation that has every value for the variable be a solution.
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