Question

what is method of substitution

Answer 1

hey mate!!

we use substitution method when we are given two linear equations with two variables say x and y

at first we take equation 1 and find the value of either x or y and then put the value in equation 2

Answer 2

✌️✌️ $\purple{hey \: frnds}$.....

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$\texbf {SUBSTITUTION METHOD}$ :::----

In this method , we express the value of one variable in terms of other variables from one equation and then substitute this value in the other equation. That is why the method is known as Substitution method. We can have the following stepwise approach to solve a system of linear equations in two variables...

$\boxed {Steps 1)}$ : From any of the two given equations ( which ever is convenient) we find the value of one variables (say y ) in terms of other (say x).

$\boxed {Steps 2)}$ : Then we substitute this value of y in other equation . This Substitution can reduce the other equation to

(i) an equation in one variable .
or (ii) a statement with no variable.

$\boxed {Steps 3)}$ : If we get an equation in one variable we solve it for value of this variable and then we find the value of step 1 .

$\boxed {Steps 4)}$ : If we get a statement with no variable ,there may be two cases .

(i) The Statement is true : In this case, the system has infinite many solutions given by the relation obtained in step 1 .

(ii) The Statement is false : In this case, the system is inconsistent i.e., has no solution.

The procedure would be clearly understood through the following illustrations.

$i \: hope \: its \: helpful \:$