SOLUTION: Use the elimination method to solve the following system of equations. what is z,y & z
x-2y+z=3
2x+y-2z=-7
3x-y+z=0
Can't seem to get this one right, Thank you!
You can put this solution on YOUR website! x-2y+z=3
2x+y-2z=-7
3x-y+z=0
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put the system of linear equations into standard form
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x-2y+z=3
2x+y-2z=-7
3x-y+z=0
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = -1
y = -1
z = 2
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now by elimination:
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2x + y - 2z = -7
3x - y + z = 0
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add the above two equations to eliminate y = yields equation A (in x and z)
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x - 2y + z = 3
2(2x + y - 2z = -7)
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add the above two equations to eliminate y = yields equation B (in x and z)
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do a linear combination of equations A and B to eliminate x and solve for z = 2
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a linear combination of equations A and B is generally = N*A + M*B (where N and M are integers)
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with z = 2 substitute into equation A to get x = -1
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with z = 2 and x = -1 substitute into any of the original equations and solve for y = -1
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solution by elimination:
x = -1
y = -1
z = 2
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