Class 10 Exam > Class 10 Videos > 01 - Elimination Method (explanation)
01 - Elimination Method (explanation) Video Lecture - Class 10
FAQs on 01 - Elimination Method (explanation) Video Lecture - Class 10
| 1. What is the elimination method in class 10 mathematics? |  |
Ans. The elimination method is a technique used in solving a system of linear equations. In this method, we eliminate one variable by adding or subtracting the equations together, resulting in a new equation with only one variable. This process is repeated until we obtain the values of all the variables in the system.
| 2. How does the elimination method work in solving linear equations? | |
Ans. The elimination method works by manipulating the given equations to eliminate one variable at a time. To eliminate a variable, we multiply one or both equations by suitable constants so that the coefficients of the variable become equal. Once the coefficients are equal, we can subtract or add the equations to eliminate the variable and obtain a new equation with only one variable.
| 3. Can the elimination method be used to solve any system of linear equations? | |
Ans. Yes, the elimination method can be used to solve any system of linear equations. However, it may not always be the most efficient method, especially if the coefficients of the variables are large or if the system has many equations. In such cases, other methods like substitution or matrix methods may be more suitable.
| 4. Are there any limitations or drawbacks of using the elimination method? | |
Ans. While the elimination method is a powerful tool for solving systems of linear equations, it does have some limitations. One limitation is that it may not work if the coefficients of the variables in the given equations are not integers or if the equations have fractions or decimals. In addition, if the system of equations is inconsistent or dependent, the elimination method may not yield a unique solution.
| 5. How can I practice and improve my skills in solving linear equations using the elimination method? | |
Ans. To practice and improve your skills in solving linear equations using the elimination method, you can solve a variety of practice problems and exercises. Many textbooks, online resources, and math tutoring websites offer practice problems and step-by-step solutions. Additionally, you can create your own system of equations and solve them using the elimination method to further strengthen your understanding and proficiency.
Text Transcript from Video
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
this only thank you so much for watching
my video if you liked it please
subscribe to my channel thank you for
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
this only thank you so much for watching
my video if you liked it please
subscribe to my channel thank you for
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About this Video
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Dec 23, 2024 Last updated |
01 - Elimination Method (explanation) for Class 102024 is part of Class 10 preparation. The notes and questions for 01 - Elimination Method (explanation)
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