Hello!
Lets consider what the question asks for:
--> graphs of either line intersecting/parallel/identical
--> # of solutions the system has
The information given:
6x + y = 25
x + 3y = 3
Let's solve the FIRST problem
--> graphs of either line intersecting/parallel/identical
--> let's put both equations into slope-intercept form, where we
isolate the y-variable all by itself to one side


--> both equations AREN'T parallel as the slope (coefficient of x-
variable) aren't equal
--> both equations AREN'T identical as they don't look the same
--> both equations ARE INTERSECTING as they have different
slopes and aren't identical
Let's solve our second question:
--> how many solutions does the system have:
--> both lines intersect
-->both lines are linear as the highest power that the x-variable
has are 1
--> thus there is only ONE SOLUTION
Answer:
Intersecting
Has ONE SOLUTION