01 - Elimination Method (explanation) Video Lecture - Class 10

hello friends today we are going to
study about elimination method for
solving any pair of linear equation with
two variables here we are we are having
a pair of linear equation with two very
for solving linear equation with
elimination method first either we have
to make the coefficient of x same or
rising I am going to solve both first I
am going to make X so same and then I'm
going to solve and then I will make vice
I am and then also one time we will do
addition and one thing we will do
subtraction what we have to do that we
are going to put so first we have to
make this coefficient same so how we can
if I multiplied this whole equation with
2 so 3 to the 6 and this whole equation
with three then three twos also 6 so I
am going to multiply now 3 2004 to Tsar
eight y equals 220 and then 3 to the 6
minus e to the 6 y is equal to 3 to the
6 now we are going to add this actually
why we are reading or for you we are
going to subtract we are not going to
read it because 6x plus 6x will give you
Braille X we have to eliminate telling
machine method means we have to
elimination eliminate either X or Y so
we have to make X coefficient same so
that we can cancel it so how we can
cancel if we will add this then it will
become 2 L X if I subtract this then all
the sign of the second equation is going
to change so it was plus y dated - it
was - rewritten plus it was + predator
and now 6x minus 6x cancer 8y plus 6y
due to a 2 1914 by years
20 - 640
so Y is equal to 14 by 14
that is one why is it true now
substitute this Y in these various or
any of the equation from this for you
can select any equation and then
substitute Y I'm substituting right now
in the second equation 2x minus 2 into 1
is equal to P so it will be 2x minus 2 2
this minus 2 will go there 2 X 2 plus 2
X 2 plus 2 4 and this 2 in denominator
cancel so you will get X is equal to 2
so here we had done addition now we are
going to make this Y coefficients in the
same equation but for making this Y cos
emphasizing the equation
we can easily see here that if I have
multiplied two with the second equation
then I will get four here than here for
already four is there so I am going to
multiply just two with the second
equation 3x plus 4y equals 10 and 2 so
4x minus 4y equals to 4 now what we are
going if we add this then we will get 0
so we can eliminate this if we are going
to subtract this then for this sign will
change so 8 is going to come so here we
had done subtraction but here we are
going to add this number so directly
only if we add this will over limit and
this 3x plus 4 X 7 X + 10 + 4 14 so X is
equal to 14 by 7 so here cancellation X
is equal to do now again you can put
this 2 in any of the equation I am going
to put it here 2 into 2 - 2 y gives you
2 so 4 minus 2 y equals to 2 is over
here - 2 y and here 2 - 4 so you will
get minus 2 y is equal to minus 2 minus
minus cancer y is equal to 2 by 2 cancel
so you will get Y is equal to so this
way we can solve any pair of linear
equations with two variables with
elimination method out of all the
methods of solving I find the
elimination method is the easiest among
going so I'm using elimination method in
all my word problems everywhere I use
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