6x + y = 6
x + 2y = 6
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solution:
6x+y=6 ------(i)
x+2y=6------(ii)
equation (ii) subtacted from (i)
6x+y=6
- x-2y=-6
_________
5x-y=0
5x=y
x=y/5---------(iii)
substitute (iii) in (i)
6(y/5)+y=6
6y/5+y=6
(6y/5)+(5y/5)=6
(6y+5y)/5=6
6y+5y=6X5
11y=30
y=30/11 --------i(v)
substitute (iv) in (ii)
x+2(30/11)=6
x+(60/11)=6
( 11x/11)+(60/11)=6
(11x+60)/11=6
11x+60=6X11
11x+60=66
11x=66-60
11x=6
x=6/11
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