Question 1165129
2x+2y−3z = -6
x+6y−4z = -23
3x+y-4z= −2
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Eliminate y terms.
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<pre>
 6x + 6y − 9z = -18  Eqn 1 times 3
  x + 6y − 4z = -23
18x + 6y - 24z= −12  Eqn 3 time 6
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 6x + 6y − 9z = -18  Eqn 1 times 3
  x + 6y − 4z = -23
-------------------------------- Subtract
5x - 5z = 5
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  x + 6y − 4z = -23
18x + 6y - 24z= −12  Eqn 3 time 6
------------------------------------Subtract
-17x + 20z = -11
5x - 5z = 5 ---> x = z+5
</pre>
Sub for x
-17(z-5) + 20z = -11
3z + 85 = -11
3z = -96
z = -32
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x = -27
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2x+2y−3z = -6
-54 + 2y + 96 = -6
2y = -48
y = -24
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(-27,-24,-32)