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Likewise, x = -1 and y = 1 will satisfy the second equation but not the first and so can’t be a
solution to the system.
Now, just what does a solution to a system of two equations represent? Well if you think about it
both of the equations in the system are lines. So, let’s graph them and see what we get. © 2007 Paul Dawkins 316 http://tutorial.math.lamar.edu/terms.aspx College Algebra As you can see the solution to the system is the coordinates of the point where the two lines
intersect. So, when solving linear systems with two variables we are really asking where the two
lines will intersect.
We will be looking at two methods for solving systems in this section.
The first method is called the method of substitution. In this method we will solve one of the
equations for one of the variables and substitute this into the other equation. This will yield one
equation with one variable that we can solve. Once this is solved we substitute this value back
into one of the equations to find the value...
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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