Question

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

Answer 1

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.

Answer 2

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:

`3x-y = 1\\3x=y+1\\y+1=3x\\y=3x-1`
We see that the third equation is exactly the given equation.

So the correct answer is the third equation
`3x-y=1`