Anthony has a cup full of nickels and dimes worth $13.90. There are 196 coins all together.

The nickles and dimes are worth 13.90

Since nickles are worth 5 cents and dimes worth 10 cents, we'll take the number of nickles, x and multiply by 5, and likewise the number of dimes, y and multiply by 10. Since we are using cents, we'll convert 13.90 to cents by moving the decimal two places. and making it 1390

5x + 10y = 1390

There are 196 coins.

When counting them we'll just take the number of nickles, x, and add them to the number of dimes, y.

x+y=196