Look up accross multiple columns

you can do it with this index/match, BUT this is an array formula so it needs to be activated using ctrl/shift/return so that {} appear on each end, YOU CANNOT add them to the formula. It will look like this when properly activated.
{=INDEX($A$2:$A$11,(MATCH(I2&J2,$B$2:$B$11&RIGHT($A$2:$A$11,1),0)))}