Setting: A supermarket sold X million yuan last year, and B supermarket sold Y million yuan last year;

Then, supermarket A sells 1. 15x this year, and supermarket B sells 1. 1y this year;

Column equation: x+y =150; Then y= 150-x (1)

1. 15x+ 1. 1y = 170； (2)

Solution: If (1) is substituted into (2), it is1.15x+1.1(150-x) =170.

1. 15x+ 165- 1. 1x = 170

0.05x=5

x = 100；

y = 150- 100 = 50；

Therefore, supermarket A sold1.15x =1.15 *100 =150,000 yuan during the 11th this year;

Supermarket B sold1.1y =1.1* 50 = 550,000 yuan during the eleventh period this year;