Question 994462

solve for {{{a}}}:


{{{(a/(x+3))-(b/(x+2))=(3x-2)/((x+3)(x+2))}}}


{{{(a/(x+3))=(3x-2)/((x+3)(x+2))+(b/(x+2))}}}


{{{(a/(x+3))=(3x-2)/((x+3)(x+2))+(b(x+3)/((x+3)(x+2)))}}}


{{{(a/(x+3))=((3x-2)+b(x+3))/((x+3)(x+2))}}}


{{{a=(3x-2+bx+3)/(cross((x+3))(x+2))cross((x+3))}}}


{{{a=(3x+bx+1)/(x+2)}}}


solve for {{{b}}}:


{{{(a/(x+3))-(b/(x+2))=(3x-2)/((x+3)(x+2))}}}


{{{(a/(x+3))-(3x-2)/((x+3)(x+2))= (b/(x+2))}}}


{{{(a(x+2)/((x+2)(x+3)))-(3x-2)/((x+3)(x+2))= b/(x+2)}}}


{{{((ax+2a)-(3x-2))/((x+3)(x+2))= b/(x+2)}}}


{{{(ax+2a-3x+2)/((x+3)(x+2))= b/(x+2)}}}


{{{(x+2)((ax+2a-3x+2)/((x+3)(x+2)))= b}}}


{{{cross((x+2))((ax+2a-3x+2)/((x+3)cross((x+2))))= b}}}



{{{b=(ax+2a-3x+2)/(x+3)}}}