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Unformatted text preview: t’s not completely true. If fractions are going to show up they will only show up in the final
step and they will only show up if the solution contains fractions.
This second method is called the method of elimination. In this method we multiply one or both
of the equations by appropriate numbers (i.e. multiply every term in the equation by the number)
so that one of the variables will have the same coefficient with opposite signs. Then next step is
to add the two equations together. Because one of the variables had the same coefficient with
opposite signs it will be eliminated when we add the two equations. The result will be a single
equation that we can solve for one of the variables. Once this is done substitute this answer back
into one of the original equations.
As with the first method it’s much easier to see what’s going on here with a couple of examples. Example 2 Solve each of the following systems of equations.
5x + 4 y = 1
3x - 6 y = 2
(b) 2 x + 4 y = -10
6x + 3y = 6 Solution
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12