Solve linear systems by elimination

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Learn it Multiply one or both equations so that one variable has opposite (or equal) coefficients, then add (or subtract) the equations to eliminate it. Solve, then substitute back.

Example: Solve 2x + 3y = 12 and 5x − 3y = 9.

Add: 7x = 21 → x = 3.
2(3) + 3y = 12 → y = 2.
(3, 2).

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