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we start by making c the subject of the first equation
we substitute this value of c into the other equations
2a-b+(6-a-b)=3 => a-2b=-3 .....4
3a-b+(6-a-b)=4 => 2a-2b=-2 .....5
making a the subject of equation 4;
substituting a into equation 5;
2(2b-3)-2b =-2 => 2b=4
1+2+c=6 => c=6-3
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