Question

How to do substitution method with examples and clear explanation

Answer 1

In substitution method, we derive the value of any one variable, let x, in terms of other variable, let y, and then put the value of derived variable, in the equation provided.

EXAMPLE = x+ 2y = 4 and x-4y = 6 ( ii)

x= 4-2y - - ( X) , x in terms of y.

Now, put the value of x in equation (ii).

X-4y = 6
(4-2y ) - 4y = 6
-6y = 6-4
Y = - 2/6 = - 1/3
Now put value of y in X equation,

4 - 2 y
x = 4- ( - 1/3)
x =12 +1 /3 = 13 / 3

Answer 2

Heya !!

SUBSTITUTION METHOD :-

suppose we are given two linear equations in x and y . For solving these equations by the substitution method , we proceed according to the following steps .

Step 1 :- Express y in terms of x in one of the given equations.

Step 2 :- Substitute this value of y in terms of x in the other equation. This gives linear equation in x.

step 3 :- Solve the linear equation in x obtained in step 2.

Step 4 :- Substitute this value of X in the relation taken in step 1 to obtain a linear equation in y.

Step 5 :- Solve the above linear equation in y to get the value of X

Note :- We may interchange the role of x and y in the above method.

HOPE YOU GOT IT :)