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(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
