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AP EAMCET · Maths · Straight Lines

If the system of linear equations given by x+y+z=3, 2x+2y-z=3, x+y-z=1 is consistent and if x0,y0,z0 is a solution, then 2x0+2y0+z0=

  1. A 0
  2. B 5
  3. C 7
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(B) 5

Step-by-step Solution

Detailed explanation

Given, x+y+z=3   ...i 2x+2y-z=3  ...ii x+y-z=1  ...iii Adding, we get x+y=2  ...iv Substituting this value of x+y in i, we get z=1 Now, if x0,y0,z0 is the solution then x0+y0=2 & z0=1. Then, 2x0+2y0+z0=2x0+y0+z0…
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