Pair of Linear Equation in two variables|| part 5|| Class 10|| Chapter 3
Good morning to all I am Prashant Jain, going to teach you about A Pair of linear equations in two variables.
Today, in part 5, we will learn Algebraic methods, specially Elimination Method
So all of my near and dear ones Lets learn…
Slide 2
In the previous section, we discussed how to solve a pair of linear equations by Substitution Method.
Now let us consider another method of eliminating (i.e., removing) one variable. This
is sometimes more convenient than the substitution method. Let us see how this method
works.
Slide 4
To understand the Elimination method more clearly, let us consider it stepwise:
Step 1 : First multiply both the equations by some suitable non-zero constants to make
the coefficients of one variable (either x or y) numerically equal.
Step 2 : Then add or subtract one equation from the other so that one variable gets
eliminated. If you get an equation in one variable, go to Step 3.
If in Step 2, we obtain a true statement involving no variable, then the original
pair of equations has infinitely many solutions.
If in Step 2, we obtain a false statement involving no variable, then the original
pair of equations has no solution, i.e., it is inconsistent.
Step 3 : Solve the equation in one variable (x or y) so obtained to get its value.
Step 4 : Substitute this value of x (or y) in either of the original equations to get the
value of the other variable.