Question 978155
Multiply both sides of the equation by  (x+2)(x-3), simplify, and compare The expressions in corresponding positions for A and B.  You will form two equations to do this.



{{{7x-1=A(x-3)+B(x+2)}}}


{{{Ax-3A+Bx+2B}}}


{{{Ax+Bx+2B-3A}}}


{{{(A+B)x+(2B-3A)}}}

What this means, is that {{{A+B=7}}} and {{{2B-3A=-1}}}.  Solve for A and B.