Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
