x/3+y/2=3 , x-2y=2find the solution of given system of equation?
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Step-by-step explanation:
x/3+y/2=3
(Multiply eq by 6)
2x+3y=18...(1)
x-2y=2
i.e. x=2+2y...(2)
Substitute eq(2) in eq(1).
2(2+2y)+2y=18
4+4y+2y=18
6y+4=18
6y=14
y=14/6=7/3.
Substitute in eq (2).
x=2+2(7/3)
x=2+14/3
x=20/3.
Answers are x=20/3 and y=7/3.
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