In a jar are 113 coins—all quarters, nickels, and pennies. The number of pennies is seven less than the sum of the number of quarters and nickels. The total value of the coins is $8.13. Find the number of quarters, the number of nickels, and the number pennies.

Which of these statements is correct? the system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution. the system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions. the system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution. the system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.