[sql] update columns values with column of another table based on condition

I have two tables...

table1 ( id, item, price ) values:

id | item | price
-------------
10 | book | 20  
20 | copy | 30   
30 | pen  | 10

....table2 ( id, item, price) values:

id | item | price
-------------
10 | book | 20
20 | book | 30

Now I want to:

update table1 
   set table1.Price = table2.price 
 where table1.id = table2.id
   and table1.item = table2.item.

How do I do it?

This will surely work:

UPDATE table1
SET table1.price=(SELECT table2.price
  FROM table2
  WHERE table2.id=table1.id AND table2.item=table1.item);