Unformatted text preview: es and see what we get. It appears that these two lines are parallel (can you verify that with the slopes?) and we know that
© 2007 Paul Dawkins 321 http://tutorial.math.lamar.edu/terms.aspx College Algebra two parallel lines with different yintercepts (that’s important) will never cross.
As we saw in the opening discussion of this section solutions represent the point where two lines
intersect. If two lines don’t intersect we can’t have a solution.
So, when we get this kind of nonsensical answer from our work we have two parallel lines and
there is no solution to this system of equations.
The system in the previous example is called inconsistent. Note as well that if we’d used
elimination on this system we would have ended up with a similar nonsensical answer. Example 4 Solve the following system of equations.
2 x + 5 y = 1
10 x  25 y = 5
Solution
In this example it looks like elimination would be the easiest method. 2 x + 5 y = 1 ´5
uuu
r
same
uuuuu
r 10 x  25 y = 5 10 x + 25 y = 5 10 x  25 y = 5
0=0 On first...
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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
 MrVinh

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