Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 08/Solution 1

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The given system of the linear equations can be represented by the augmented matrix:

Since elementary row operations do not change the solution to the linear system, we remove the entry in column 1 of row 2 by subtracting off -2 times the first row;

which is equivalent to

Therefore, from the second equation, we have .

And the third equation implies , so .

Finally, from the first equation, we obtain .

Therefore, the solution is .