Answer:
option A. 3x - y = 2 and 3x - y = 1
Step-by-step explanation:
Using the rule of y-intercept which is the value of y when x equals 0
Option A: 3x-y=2 and 3x-y=1
y-intercepts will be ⇒ -2 and -1
Option B: 3x+y=2 and 3x-y=1
y-intercepts will be ⇒ 2 and -1
Option C: 3x-y=2 and 3x+y=1
y-intercepts will be ⇒ -2 and 1
Option D: 3x+y=2 and 3x+y=1
y-intercepts will be ⇒ 2 and 1
Comparing the results with the y-intercepts from the graph
From the graph the system of equation intersects with y-axis, (which mean x=0), at y = -2 , -1
So, the system which is represented by the graph is option A