An investor bought 3 shares of stock A and 2 shares of stock B for a total of $41. Stock a costs $2.00 more per share than stock B. What is the cost of a share of stock a in dollars?

X=cost of a share of stock A

y=cost of a share of strock B

we suggest this equation:

3x+2y=41

x=y+2

We solved this equation by substitution method:

3 (y+2) + 2y=41

3y+6+2y=41

5y=41-6

5y=35

y=35/5=7

x=y+2

x=7+2=9

Solution: The cost of a share of stock A is $9, and the cost of aq share of stock B is $7.