elimination method

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A method of solving linear simultaneous equations by reducing the number of variables by taking appropriate linear combinations of the equations. For example, when 3x+2y=7 (I) and 5x−3y=−1 (II) then 3×(I)+2×(II) ⇒ 19x=19, so the variable y has been eliminated, allowing the variable x to be identified as 1, and then the substitution back into either of the original equations gives the corresponding value for y.

Subjects: Mathematics.

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