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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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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)

-60x - 156y =-2784
60x + 35y =1090

Adding the two equations, we obtain the value of y.
-121y = -1694
y = 14

Answer:

C or third one :

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

Step-by-step explanation:

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