2x – 3y - 9z = 113x + 3z= – 5-3x + y - 4z = 8 solve for x,y,z​

Answer:x = 0, y = 1.333, z = -1.667 ( to the nearest thousandth).Step-by-step explanation:2x – 3y - 9z = 11      A3x + 3z= – 5            B-3x + y - 4z = 8        CMultiply Equation  C by 3:-9x + 3y - 12z = 24     D   Adding A + D:-7x - 21z =  35             Divide by 7:-x -  3z = 5             EAdding B + E:2x = 0x = 0Plugging in x = 0 into equation B:3(0) + 3z = -5z = -5/3z = -1 .667Now plugging the values of y and z into equation A:2(0) - 3y - 9(-5/3) = 11-3y = 0 + 11 + 9(-5/3) = -4y = 4/3 = 1.333.