SOLUTION: how can i do this:
x-y+z=0
3x-2y+6z=9
-x+y-2z=21
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Question 117577This question is from textbook
: how can i do this:
x-y+z=0
3x-2y+6z=9
-x+y-2z=21
This question is from textbook
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
(1)
..(2)
..(3)
In order to solve this system for , , and , first you need to eliminate one unknown variable. If you look at (1) and (3) you will see that and have opposite signs and same coefficient which is ; so, we can add these and eliminate and and find out what is.
(1)
+
..(3)
------------------------------
.cancel and
multiply both sides by
solution #1
Now plug in solution #1 in equation (1) , (2), or (3). I will choose equation (1) and multiply it by , then subtract (2) from (1) to find out what is.
multiply both sides by
.(1)
..(2)
--------------------------------------------
.(1)
. subtract (2) from (1)
-
..(2)
---------------------------------------------
multiply both sides by
solution #2
Now choose either one of the three equations, plug in values for and and find out what is.
.(1)
Check:
..............(1)
..............(2)
Check
(3)
by yourself
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