Question

x-y+z=4,2x+y-3z=0,x+y+z=2??​

Answer 1

Answer:

by elimination method

Step-by-step explanation:

Given equations

x – y + z = 4

2x + y – 3z = 0

x + y + z = 2

We can write this system of equations as AX = B where

= 1(1 + 3) - (- 1) (2 + 3) + 1 (2 - 1) = 4 + 5 + 1 = 10 ∴ A–1 exists.

A11 = 4,

A12 = –5,

A13 = 1

A21 = 2,

A22 = 0,

A23 = –2

A31 = 2,

A32 = 5,

A33 = 3

The required solution is ∴ x = 2, y = - 1, z = 1

Answer 2

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