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Sum of 2s + 4t -3u + 5v, -s + 2t + 9u - 11v and 3s - 4t + 2u - 3v is

  • A.4s - 2t - 8u - 9v
  • B.4s - 2t + 8u - 9v
  • C.4s + 2t - 8u - 9v
  • D.4s + 2t + 8u - 9v

Answer: D

Collect each variable across the three expressions.

\[ s: \ 2 - 1 + 3 = 4 \]

\[ t: \ 4 + 2 - 4 = 2 \]

\[ u: \ -3 + 9 + 2 = 8 \]

\[ v: \ 5 - 11 - 3 = -9 \]

\[ \therefore\ 4s + 2t + 8u - 9v \]

The options differ only in the signs of the \( t \) and \( u \) terms, so those two columns decide the answer.

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