Question

X+y+z=63x−2y+2z=2−2x−y+3z=−4

Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answer 1

(2 , 3, 1)

Explanation:

x + y + z = 6 ..(1)

3x - 2y + 2z = 2 ..(2)

-2x - y + 3z = -4 ..(3)

(1)*3-(2): 5y + z = 16 ..(4)

(1)*2+(3): y + 5z = 8 ..(5)

(4)*5-(5): 24y = 72 y = 3

(4): 5*3 + z = 16 z = 1

(1): x + y + z = x + 3 + 1 = 6 x = 2