2x+y=4
x+2y=2
please tell the answer class 9 linear equation
Answers
Solution
Given :-
- 2x + y = 4 _________(1)
- x + 2y = 2 _________(2)
Find :-
- Value of x & y
Explanation
Use Substitution Method.
By , equ(1).
➡y = 4 - 2x ____________(4)
Keep Value of y in equ(2)
➡x + 2(4 - 2y) = 2
➡x + 8 - 4y = 2
➡-3y = 2 - 8
➡y = -5 (-3)
➡y = 5/3
Keep Value of y in equ(4)
➡5/3 = 4 - 2x
➡2x = 4 - 5/3
➡2x = (12-5)/3
➡2x = 7/3
➡x = 7/6
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Answer Verification
Keep Value of x & y in equ(1)
➡2 × 7/6 + 5/3 = 4
➡7/3 + 5/3 = 4
➡(7 + 5)/3 = 4
➡12/3 = 4
➡4 = 4
L.H.S. = R.H.S.
That's Proved.
_________________________
Since,
We can say that our solution is right.
_________________________
Hence
- Value of x = 7/6
- Value of y = 5/3
_________________
Answer:
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