Which system is represented by the graph? a. 5x + y = 2 and 5x - y = 4 b. 5x - y = 2 and 5x - y = 4 c. 5x - y = 2 and 5x + y = 4 d. 5x + y = 2 and 5x + y = 4

The two lines shown are parallel. This gives us a hint that the slope of two lines is the same. We can also say, if equations are written in general form, the coefficients of x and y must be same in both equations, only then they can have the same slope.

So, this means either option B or option D can be our answer. The lines are increasing from left to right, this shows that the slope of the lines is positive.
Option B gives us positive slope m = 5 while option D gives us negative slopes m = -5

So, we can conclude by this observation, that option B is the correct answer