System of equations!

Algebra Level 5

Which one of the following conditions must p, q and r satisfy so that the following system of linear simultaneous equations has at least one solution, such that p+q+r is not equal to 0

x+ 2y – 3z = p

2x + 6y – 11z = q

x – 2y + 7z = r

Your options-

  1. 5p –2q – r = 0

  2. 5p + 2q + r = 0

  3. 5p + 2q – r = 0

  4. 5p – 2q + r = 0

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