SOLUTION: Im haveing troble doing this equation. I get mixed up in the steps. Can you please help? Thank you! 6x-y+2z=8 2x+3y-z=-9 4x+2y+5z=1

Question 995315: Im haveing troble doing this equation. I get mixed up in the steps. Can you please help? Thank you!
6x-y+2z=8
2x+3y-z=-9
4x+2y+5z=1
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
.....eq.1
.....eq.2
.....eq.3
------------------------
here you have the system of three equations with three unknown variables: ,, and
first, take two equations and try to eliminate one unknown variable

.....eq.1
.....eq.2....both sides multiply by
-----------------------------
.....eq.1
.....eq.2
------------------------------add both

...solve for

................eq.1a
do same with other two equations:
.....eq.2..........both sides multiply by
.....eq.3
-----------------------
.....eq.2
.....eq.3
-----------------------------add

................eq.1b
since 1a and 1b have same left sides, equal the right sides and solve for

go back to 1a, plug in for and solve for
................eq.1a

now go to any of given eq. plug in values for and , and solve for
.....eq.2

so, your solutions are:

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