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.

Solution:

It is given that

y = 2x + 2 ….. (1)

y = 2x …. (2)

For solving the given linear equations, we substitute (2) in (1)

2x = 2x + 2

2x - 2x = 2

So we get

0 = 2

Therefore, there are no solutions.

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.

Summary:

Given the system y = 2x + 2 and y = 2 x, the statement ‘there are no solutions’ is true.