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Question 74423: 2x+2y+3z=13
-3x+4y-z=5
5x-3y+z=2
solve a system of 3 linear equations in 3 variables by the addition method. I keep coming up with fractions for x variable. i must be missing something in one of steps.
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! What's wrong with fractions?
adding (equation 2) to (equation 3) gives 2x+y=7 (a)
multiplying (equation 2) by 3 and adding it to (equation 1) gives -7x+14y=28, dividing this by 7 gives -x+2y=4 (b)
multiplying (equation (b)) by 2 and adding (equation (a)) gives 5y=15
so y=3,, x=2,, and z=1
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