College Algebra / Unit 9 Alg 486 short lesson, about 20 seconds
The Addition Method
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The idea
The addition method adds the equations, scaled if needed, so one variable's terms cancel as opposites — leaving one equation in one unknown.
In practice
2x + 3y = 12 stacked on 4x − 3y = 6: the y-terms are already opposites, and adding gives 6x = 18.
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