pls solve this Linear equation
x-2y=4,
x-y=3
Answers
Answer:
Y = - 1
X = 7/3
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Answer :-
To find :-
- Value of x
- Value of y
Solution :-
The two equations are :-
x-2y = 4 _________________________( i )
x - y = 3 _________________________( ii )
Solving equation (i) , we get :-
x - 2y = 4
➡ x = 2y + 4 ____________________ ( iii )
Solving equation ( ii ) we get :-
x - y = 3
➡x = 3 + y ______________________ ( iv )
Putting equation ( iii ) in eqn ( iv ) we get :-
2y + 4 = 3 + y [ Since both are equal to x that means both the equations are equal ]
➡ 2y - y = 3 - 4
➡ y = -1
After putting the value of y in eqn ( ii ) we get,
x = 3 + y
➡ x = 3 + ( -1 )
➡ x = 3 - 1
➡ x = 2
Therefore , the value of y is -1 and x is 2 .
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Note :-
★ The process used here to solve the equation is substitution method and equating the two equations
★Substitution method we used by substituting the value of y and finding x
★ Equating the two equations that is when we equated equation (i) and ( ii ) and finding the value of y