Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?5x + 13y = 23212x + 7y = 218

To eliminate x by adding the equations, make the x-coefficients opposites. Multiplying the first equation by −12 changes its 5x term to −60x, while multiplying the second equation by 5 changes its 12x term to 60x. These terms cancel when the equations are added, so the correct choice is C: multiply the first equation by −12 and the second by 5.

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