Answer: Hello!
we have that:
one third x − 2 = one fourth x + 11
this means:
(1/3)x - 2 = (1/4)x + 11
if this are equal numbers, we can write it as:
(1/3)x - 2 = y = (1/4)x + 11
now we have the system of equations:
(1/3)x - 2 = y
(1/4)x + 11 = y
if we "simplify" the rational therm in each equation, we get:
3*(1/3)x - 3*2 = 3y
x - 6 = 3y
and
4*(1/4)x + 4*11 = 4y
x + 44 = 4y
Then our system of equations is:
x - 6 = 3y
x + 44 = 4y
Now we can subtract x in each side of both equations:
-6 = 3y - x
44 = 4y - x
Then the right option is the first one.
3y - x = -6
4y - x = 44
