We know $\overline {DE}\parallel \overline {BC}.$ Given $[ADE]=9$ and $[CDE]=6,$ find $[ABC].$ [asy] size(5cm); pair A,B,C,D,EE; B=(0,0); C=(5,0); A=(3,3); D=(2A+3C)/5; EE=(2A+3B)/5; draw(C--B--A--C--EE--D); label("$A$",A,N); label("$B$",B,SW); label("$C$",C,SE); label("$D$",D,E); label("$E$",EE,W); [/asy]
