SOLUTION: the question says solve the following system of euqations by elimination. x+2z =5 -4x+6y =0 x-2z=9 this is the order that the problem is set up, and i haven't seen anything

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Question 12503: the question says solve the following system of euqations by elimination.
x+2z =5
-4x+6y =0
x-2z=9
this is the order that the problem is set up, and i haven't seen anything like this, so i need a little help on what to do.
thanks matt

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve by elimination:
1)
2)
3)
Add equations 1) and 3) to eliminate z.


----------------

Substitute this value of x into equation 1) and solve for z.
1)
Subtract 7 from both sides.
Divide both sides by 2.

Substitute x = 7 into equation 2) and solve for y.

Add 28 to both sides.
Divide both sides by 6.
= 4 2/3
To check the solutions, substitute x = 7, y = 4 2/3, and z = -1 into the original equations. I'll leave for you to do.

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