Find the number of solutions of the equation 2-3y=1, and 3x-2y-4=0.
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Solution
Given :-
- Equation , 2x - 3y = 1 ----------(1)
- 3x - 2y = 4 -----------------(2)
Find :-
- Value of x & y
Explanation
By, Elimination Method
Multiply by 2 in equ(2) & 3 in equ(1)
- 6x - 9y = 3
- 6x - 4y = 8
_____________Sub. it's (Eliminate x)
==> -9y + 4y = 3 - 8
==> -5y = -5
==> y = -5/(-5)
==>y = 1
Keep Value of y in equ(1)
==> 2x - 3*1 = 1
==> 2x = 1 + 3
==> 2x = 4
==>x = 4/2
==>x = 2
____________________
Hence
- Value of x = 2
- Value of y = 1
__________________
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