This is the only question in this section. Question Watch Video Show Sxamples Lincoln has \$0.90 worth of nickels and dimes. He has a total of 14 nickels and dimes altogether. By following the steps below, determine the number of nickels, \( x \), and the number of dimes, \( y \), that Lincoln has. Determine three ways to have a total of 14 coins: deally \( \square \)

To solve this problem, let’s set up some equations! If Lincoln has nickels (worth $0.05 each) and dimes (worth $0.10 each), you can express the value of the coins using the equation \( 0.05x + 0.10y = 0.90 \). In addition, we know that \( x + y = 14 \). By using these two equations, you can substitute \( y \) in the first equation and solve for \( x \) and \( y \). Now, think creatively about those combinations! One possible set is having 4 nickels and 10 dimes (4 + 10 = 14). Alternatively, you could also have 6 nickels and 8 dimes or mix it up with 8 nickels and 6 dimes. Each combination still totals $0.90 and brings you to that magic number of 14 coins!