SOLUTION: plz kindly solve the following linear system by method of elimination
x+4y-z=12
3x+8y-2z=4
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Question 1052299: plz kindly solve the following linear system by method of elimination
x+4y-z=12
3x+8y-2z=4
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) x +4y -z = 12
:
2) 3x +8y -2z = 4
:
multiply equation 1 by 2 and subtract from equation 2
:
x = -20
:
substitute for x in equations 1 and 2, then we have two equations in two unknowns
:
3) 4y -z = 32
:
4) 8y -2z = 64
:
Note that equations 3 and 4 are lines that are parallel to each other and therefore do not have a solution
:
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equations 1 and 2 are not sufficient to solve for variables x, y, z
:
you need three equations in x, y, z in order to have a solution
:
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