SOLUTION: 3x+6y-z=6
3x-3y+5z=-6
9x+9y-2z=11
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Question 1203438: 3x+6y-z=6
3x-3y+5z=-6
9x+9y-2z=11
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
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9x+18y-3z=18
9x-9y+15z=-18
9x+9y-2z=11
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Peform E1-E3 and E2-E3.
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9y-z=7
-18y+17z=-29
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Make 2*E1.
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18y-2z=14
-18y+17z=-29
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Perform E1+E2.
15z=-15
With this, you can go back and find values for y and x.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
There are an endless number of different ways to solve this system of equations; the other tutor has shown one.
Like the other tutor, I changed the three equations into equivalent forms to get "9x" as a term in all three equations. Then from there I went a different direction the they did.
[1]
[2]
[3]
Do [1]-[2] to eliminate x to get one equation in y and z; do [1]-[3] to get another.
--> [4]
[5]
Do [4]-[5] to eliminate y and solve for z
Substitute z=-1 in [5] and solve for y
Substitute z=-1 and y=2/3 in [1] to solve for x
ANSWER: (x,y,z) = (1/3,2/3,-1)
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