<PRE><B>Question 924942</B>
x - 9y + 4z = 1 
-2x + 9y - 4z = -3 
2x + y - 4z = -3
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put the system of linear equations into standard form
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x - 9y + 4z = 1 
-2x + 9y - 4z = -3 
2x + y - 4z = -3
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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 = 2
y = 1
z = 2
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by elimination:
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x - 9y + 4z = 1 
-2x + 9y - 4z = -3 
2x + y - 4z = -3
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add equations 1 and 2:
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x - 9y + 4z = 1 
-2x + 9y - 4z = -3 
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x + 4z = 1 
-2x - 4z = -3
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-x = -2
x = 2
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add equations 2 and 3:
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-2x + 9y - 4z = -3 
2x + y - 4z = -3
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9y - 4z = -3 
y - 4z = -3
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10y - 8z = -6 (Equation A)
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substitute x=2 into equation 1:
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2 - 9y + 4z = 1 
-9y + 4z = -1  (Equation B)
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add equations A and 2*B
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10y - 8z = -6
2(-9y + 4z = -1)
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10y - 8z = -6
-18y + 8z = -2
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-8y = -8
y = 1
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substitute x=2 y=1 into equation 1:
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2 - 9 + 4z = 1 
4z = 8
z = 2
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answer:
x = 2
y = 1
z = 2
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Solve systems of linear equations up to 6-equations 6-variables:
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