Opposite Coefficients Method for Solving Two Equations in Two Unknowns

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This Demonstration solves the system of linear equations

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,

with the opposite coefficient method.

Step 1: to eliminate , multiply the first equation by and the second by , and add the equations. Even better: multiply the first with and the second with . (Here means the least common multiple of and .)

Step 2: add equations and solve a new equation for .

Step 3: substitute the solution for into the first given equation, and solve the new equation for .

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Contributed by: Izidor Hafner (June 2014)
Open content licensed under CC BY-NC-SA


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