Question

If the system of linear equations x – 4y + 7z = g 3y – 5z = h –2x + 5y – 9z = k is consistent, then : 

(1) 2g + h + k = 0 

(2) g + h + 2k = 0 

(3) g + h + k = 0 

(4) g + 2h + k = 0

Answer 1

The correct option (1) 2g + h + k = 0

Explanation:

LHS : 2(i) + (iii) + (ii) = 0 {linear combinationof respective equations} 

so should happen for RHS for consistency => 2g + k + h = 0