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Unformatted text preview: e looking at that technique in the next section. Example 1 Solve the following system of equations.
x - 2 y + 3z = 7
2x + y + z = 4
-3 x + 2 y - 2 z = -10
We are going to try and find values of x, y, and a z that will satisfy all three equations at the same
time. We are going to use elimination to eliminate one of the variables from one of the equations
and two of the variable from another of the equations. The reason for doing this will be apparent
once we’ve actually done it.
The elimination method in this case will work a little differently than with two equations. As
with two equations we will multiply as many equations as we need to so that if we start adding
pairs of equations we can eliminate one of the variables.
In this case it looks like if we multiply the second equation by 2 it will be fairly simple to
eliminate the y term from the second and third equation by adding the first equation to both of
them. So, let’s first multiply the second equation by two. x - 2 y + 3z = 7
2x + y + z = 4 same
r -3x +...
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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