What is the solution of the system of equations?3 x + 2 y + z = 75 x + 5 y + 4 z = 33 x + 2 y + 3 z = 1

Answer:The answer to your question is:x = 4y = -1z = -3Step-by-step explanation:                                   3 x + 2 y + z = 7                                   5 x + 5 y + 4 z = 3                                   3 x + 2 y + 3 z = 1[tex]\left[\begin{array}{ccc}3&2&1\\5&5&4\\3&2&3\end{array}\right][/tex]= 45 + 10 + 24 - (30 + 24 + 15) = 79 - 69Δ = 10[tex]\left[\begin{array}{ccc}7&2&1\\3&5&4\\1&2&3\end{array}\right][/tex]= 105 + 6 + 8 - (18 + 56 + 5)= 119 - 79Δx = 40[tex]\left[\begin{array}{ccc}3&7&1\\5&3&4\\3&1&3\end{array}\right][/tex]= 27 + 5 + 84 - ( 105 + 12 + 9)= 116 - 126Δy = -10[tex]\left[\begin{array}{ccc}3&2&7\\5&5&3\\3&2&1\end{array}\right][/tex]= 15 + 70 + 18 - (10 + 18 + 105)= 103 - 133= -30Δz = -30x = Δx /Δ = 40/10 = 4y = Δy/Δ = -10/10 = -1z = Δz/Δ = -30/10 = -3