Question

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

Answer 1

Answer:

C.) y/2

Step-by-step explanation:

We can simplify (x+3)/3 to x/3 + 3/3, then simplify (y+2)/2 to y + 2/2, and since 2/2 and 3/3 are both 1, so we can say that x/3 + 1 = y/2 + 1, meaning that x/3 = y/2.

Answer 2

Answer:

c. y/2

Step-by-step explanation:

We can solve this by cross-multiplying.

1. Since $\frac{x+3}{3}$=$\frac{y+2}{2}$, 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=$\frac{3y}{2}$.

5. The question asks for x/3, so we can divide both sides of the equation to get $\frac{x}{3}$=$\frac{3y}{6}$.

6. Simplify. We get $\frac{x}{3}$=$\frac{y}{2}$, so c is the answer.