4x+2y=8 3x-y=-1 by elemination method ?
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Solution
Given :-
- 4x + 2y = 8_______(1)
- 3x - y = -1_________(2)
Find :-
- Value of x & y
Explanation
By, Elemination Method
For, this Multiply by 2 in equ(2)
- 6x - 2y = -2_________(3)
Add equ(1) & equ(2)
==> 6x + 4x = 8 - 2
==> 10x = 6
==> x = 6/10
==> x = 3/5
Or,
==> x = 0.6
Keep Value in equ(1)
==> 4 × 3/5 + 2y = 8
==> 12/5 + 2y = 8
==> (12+10y) = 40
==> 10y = 40 - 12
==> 10y = 28
==> y = 28/10
==> y = 2.8
Hence
- Value of x = 0.6
- Value of y = 2.8
___________________________
Answer Verification
For, this keep value of x & y in equ(1)
==> 0.6 × 4 + 2 × 2.8 = 8
==> 2.4 + 5.6 = 8
==> 8 = 8
L.H.S. = R.H.S.
That's Proved
____________________
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