Carlos has a box of coins that he uses when playing poker with friends. the box currently contains 4 coins, consisting of pennies , dimes, and quarters. the number of pennies is equal to the number of dimes, and the total value is $3.84. how many of each denomination of coin does he have?

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 what is the value of y?