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# explain the process of substitution

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

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.

http://www.topperlearning.com/study/cbse/class-10/mathematics/revision-notes/pair-of-linear-equations-in-2-variables/b101c2s3e21ch82

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

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