Question

consistent and inconsistent
x+y +z=6
x-y +2z=5
2x-2y+3z=7​

Answer 1

Answer:

x = 1 , y = 2 , z = 3

Step-by-step explanation:

x + y + z = 6 ➡️1

x-y+2z = 5 ➡️ 2

On Adding above two equations , we get

2x + 3z = 11

2x = 11 - 3z ➡️ 3

2x - 2y + 3z = 7

2x = 7 + 2y - 3z ➡️ 4

On comparing equations 3 and 4,we get

11 - 3z = 7 + 2y - 3z

11 = 7 + 2y

2y = 4

y = 2

Putting the value of y in eq 1

x + 2 + z = 6

x + z = 4

x = 4 - z ➡️ 5

Using eq 5 in 3

2 ( 4 - z ) = 11 - 3z

8 - 2z = 11 - 3z

z = 3 , put in eq 5

x = 1