Friday, February 25, 2011

Given the coincidental lines mx+3y+2=0 and 2x+ny-8=0 what are m and n ?

Given the lines:


mx + 3y + 2
= 0


2x + ny -8 - 0


Given that
both lines are coincidental.


Then the equations of the
lines must be the same.


==> Then the rations should
be equal.


==< m/2 = 3/n =
2/-8


Now we will solve each
variable.


==?> m/2 = 2/-8 =
-1/4


==> 4m= -2 ==? m = -2/4 =
-1/2


Now we will solve for
n.


==> 3/n = 2/-8 =
-1/4


==> -n = 12 ==> n=
-12


Then the values are: m= -1/2  and n=
-12

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