Question

If (x + 2)/2 = y/5, then which of the following must be true?

Answer 1

Answer:

$\frac{x}{2} = \frac{(y - 5)}{5}$

Step-by-step explanation:

We are given the equation $\frac{(x + 2)}{2} = \frac{y}{5}$ .......... (1)  and we have to find the equivalent expression for above expression from options.

Now, the expression can be rearranged as

$\frac{(x + 2)}{2} = \frac{y}{5}$

⇒ $(\frac{x}{2} + 1) = \frac{y}{5}$

⇒ $\frac{x}{2} = \frac{y}{5} - 1$

⇒ $\frac{x}{2} = \frac{(y - 5)}{5}$

Therefore, this $\frac{x}{2} = \frac{(y - 5)}{5}$ will be true for the expression (1). (Answer)