Question

If x+3/3 = y+2/2, then x/3=

Answer 1

c. y/2

Explanation:

We can solve this by cross-multiplying.

1. Since
`(x+3)/(3)`=
`(y+2)/(2)`, we can cross-multiply both sides of the equation to remove the denominators. Multiple the right side by 2 and the left side by 3 to get 2(x+3)=3(y+2).

2. Distribute to get the x on one side. 2x+6=3y+6.

3. The 6s on both sides cancel out so we are left with 2x=3y.

4. Divide both sides by 2 to get x on one side, so x=
`(3y)/(2)`.

5. The question asks for x/3, so we can divide both sides of the equation to get
`(x)/(3)`=
`(3y)/(6)`.

6. Simplify. We get
`(x)/(3)`=
`(y)/(2)`, so c is the answer.