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Answers
Answer:
x = 5/2 then y = 0 →(x,y) = (5/2, 0)
x = 2 then y = 1 → (x,y) = ( 2,1)
Given :-
A linear equation in two variables i.e " 2x + y = 5".
To Find :-
Refer to the 1st Attachment.
Used Concept :-
- Method to solve linear equations in two variables if one of the variable is given .
Solution :- Refer to the 2nd attachment and done as below .
There are 3 cases in this question . We will do all cases serial vise .
Case 1 :-
The given Equation :- 2x + y = 5
x = 0 , y = 5
Now , Put x = 0 , y = 5 in the above equation.
2 × 0 + 5 = 5
0 + 5 = 5
5 = 5 .
Therefore , the given values of "x and y"satisfies the equation.
Case 2 :-
The given Equation :- 2x + y = 5
x = ? , y = 0
Now , Put the given value of "y" and we get the value of "x" respectively .
2x + 0 = 5
2x = 5
x = 5/2
Therefore , x = 5/2 and ( x , y ) = ( 5/2 , 0 ) .
Case 3 :-
The given Equation :- 2x + y = 5
x = 2 , y = ?
Now , Put the given value of "x" and we get the value of "y" respectively.
2 × 2 + y = 5
4 + y = 5
y = 5 - 4
y = 1
Therefore , y = 1 and ( x , y ) = ( 2 , 1 ) .