Question

If x+3/3=y+2/3, then x/3=
A) y/3
B)y-1
C)y/2
D)y+1

Answer 1

y/2

Explanation:

x+3=y+2

------ --------

3 2

Using cross products

2(x+3) = 3(y+2)

Distribute

2x+6 = 3y+6

Subtract 6 from each side

2x+6-6 = 3y+6-6

2x= 3y

Divide each side by 2

2x/2 = 3y/2

x = 3/2 y

We want to find x/3

Divide each side by 3

x/3 = 3/2 y * 1/3

x/3 = 1/2 y