Which system is represented by the graph

a. 3x-y=2 and 3x-y=1
b. 3x+y=2 and 3x-y=1
c. 3x-y=2 and 3x+y=1
d. 3x+y=2 and 3x+y=1

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

x=6 and x=3

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