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AP EAMCET20228 Jul 2022Morning ShiftMathematicsDeterminantsActual

If the system of simultaneous linear equations x + y + z = , 5 x - y + z =10 and 2 x +3 y - z =6 has unique solution, then

Options

  1. A=23 and R
  2. BR and 23
  3. C23 and R
  4. D=23 and =16

Correct answer

C. 23 and R

Step-by-step solution

Given system of equations x+y+z= ...(i) 5 x-y+ z=10 ...(ii) 2 x+3 y-z=6 ...(iii) has unique solution | array rrc 1 & 1 & 1 5 & -1 & 2 & 3 & -1 array | 0 aligned & 1(1-3 )-1(-5-2 )+1(15+2) 0 & 1-3 +5+2 +17 aligned 23 for all R system. of solution has unique solution

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