To solve the equations: X − y − z = 0x + y − 3Z = 42x + 3Y − 5Z = 14

To solve the equations: X − y − z = 0x + y − 3Z = 42x + 3Y − 5Z = 14

X − y − z = 0 & nbsp; & nbsp; ① x + y − 3Z = 4 & nbsp; & nbsp; ② 2x + 3Y − 5Z = 14 & nbsp; & nbsp; ③, ① + ② get: 2x-4z = 4 ④, ① × 3 + ③ get: 5x-8z = 14 ⑤, ④ × 2 - ⑤ get: - x = - 6 solution: x = 6, substitute x = 6 into ④ get: z = 2, substitute x = 6, z = 2 into ① get: y = 4, then the solution of the original equations is: x = 6y = 4Z = 2