Given system of linear equations are
3x−2y+z=b
5x−8y+9z=3
2x+y+az=−1
For system to have no solution,
Δ=∣352−2−8119a∣=0
⇒3(−8a−9)+2(5a−18)+1(21)=0
⇒a=−3
Also, Δ2=∣352−2−81b3−1∣=3(5)+2(−11)+b(21)=21b−7
If b=31, Δ2=0
So b must be equal to −31
The ordered pair (a,b), for which the system of linear equations
3x−2y+z=b
5x−8y+9z=3
2x+y+az=−1
has no solution, is
Held on 26 Jun 2022 · Verified 6 Jul 2026.
(3,31)
(−3,31)
(−3,−31)
(3,−31)
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