Please Help! Show all the steps!What is the solution of the system of equations?3x + 2y + z = 75x + 5y +4z = 33x +2y +3z = 1

You can start by subtracting different equations from each other.3x + 2y + 3z = 1subtract3x + 2y + z = 72z = -6 divide by 2z = -3add the following two expressions together:3x + 2y + z = 73x + 2y + 3z =16x + 4y + 4z = 8subtract the following two expressions:6x + 4y + 4z = 85x + 5y + 4z = 3x - y = 5^multiply the whole equation above by 33x - 3y = 15subtract the following two expressions: 3x - 3y = 153x + 2y = 10-5y = 5divide each side by -5y=-1take the following expression from earlier:x - y = 5substitute y value into above equationx - - 1 = 52 negatives make a positivex + 1 = 5subtract 1 from each sidex = 4Therefore x = 4, y = -1, z = -3I checked these with all 3 equations and they worked :)(it's quite complicated, comment if you don't understand anything) :)