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CBSE - X - Mathematics

explain the process of substitution

Asked by mokshjainanand 31st March 2017, 5:33 PM
Answered by Expert


Hi Moksh,

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.

Answered by Expert 31st March 2017, 8:12 PM

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