The answer is C y= -3/2x + 2
Step-by-step explanation
For lines to be parallel they must have the same slope and different y-intercepts. After the original equation is worked out the slope turns out to be -3/2x Mae I fall that C is the only possible answer since it’s slope is the same.
Work:
1/2x + 1/3y = 1
1/3y = -1/2x + 1
3*1/3y = (3)(-1/2x) +(3)(1)
y= -3/2x + 3