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Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is y = 3x – 1. Which could be the other equation? y = 3x + 2 3x – y = 2 3x – y = 1 3x + y = 1

Respuesta :

shinmin
The answer is 3x - y = 1, for that is equal to y = 3x - 1.

This would be the step by step calculation:

If we solve for y on 3x - y = 1, we get: y = - 3x + 1

Then multiply both sides by -1, we would get now is y = 3x - 1 would be the final answer.
If the system has an  infinite number of solutions, then the two equation are multiple each other. Consider the third equation and transform it like this:
[tex]3x-y = 1\\3x=y+1\\y+1=3x\\y=3x-1[/tex]
We see that the third equation is exactly the given equation. 

So the correct answer is the third equation [tex]3x-y=1[/tex]

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