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23 July, 00:06

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?

5x + 13y = 232

12x + 7y = 218

The first equation can be multiplied by - 13 and the second equation by 7 to eliminate y.

The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.

The first equation can be multiplied by - 12 and the second equation by 5 to eliminate x.

The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.

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  1. 23 July, 01:02
    0
    The correct answer would be the third option. The first equation can be multiplied by - 12 and the second equation by 5 to eliminate x. Calculations are as follows:

    -12 (5x + 13y = 232)

    5 (12x + 7y = 218)

    -60 x - 156y = - 2784

    60 x + 35y = 1090

    Adding the two equations, we obtain the value of y.

    -121y = - 1694

    y = 14
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