x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.
0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.
Now use elimination method.
x+y=1500(-0.02)=-0.02x+-0.02y=-30
0.02x+0.04y=44
Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.
