CBSE - X - Mathematics
explain the process of substitutio
Here are the steps for Substitution Method.
Step 1: Express the value of one variable, say y in terms of other variable, x from either equation, whichever is convenient.
Step 2: Substitute the value of y in other equation and reduce it to an equation in one variable, i.e. in terms of x.
There will three possibilities:
i. If reduced equation is linear in x, then solve it for x to get a unique solution.
ii. If reduced equation is a true statement without x, then system has infinite solutions
iii. If reduced equation is a false statement without x, then system has no solution.
Step 3: Substitute the value of x obtained in step 2, in the equation used in step 1, to obtain the value of y.
Step 4: The values of x and y so obtained are the coordinates of the solution of system of equations.
If you want to understand the steps of any other method, refer to the link below.
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