a math student has a plan to solve the following system by the elimination method. to eliminate the x-term , he wants to multiply the top equation by 7. what should he multiply the second equation by so that when he adds the equation, the x-term are eliminated ? -3x-7y=-56
-7x+10y=-1

Respuesta :

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Answer:

  -3

Step-by-step explanation:

The coefficients of the x-terms are (-3, -7). If you swap them, you have (-7, -3). Negating one of them will give you (7, -3) or (-7, 3). Either of these pairs of multipliers will work to eliminate the x-terms.

The problem statement tells us the multiplier of the first equation is 7, so the multiplier of the second equation needs to be -3.