Question

Given the system y = 2x + 2 and y = 2 x , which statement below is true?

There are no solutions
The system has exactly one solution.
(3, 8) is a solution of the system.
(8, 3) is a solution of the system.

Answer 1

The answer is A (THERE ARE NO SOLUTIONS).

Answer 2

Answer: There are no solutions

Explanation:

Hi, there are no solutions.

If we subtract these equations:

y = 2x + 2

-

y = 2 x

________

0= 2

0= 2 is a false statement. When we obtain a false statement it means that the system has no solutions.

We can also see that both functions have the same slope (2), so, they will never overlap in a graph.

Feel free to ask for more if needed or if you did not understand something.