Question

Help pls it’s a bit tricky

Answer 1

$2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2$

Answer 2

Answer:

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

Step-by-step explanation:

The problem consist in isolate the $y$ variable

The steps are below:

$2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}$

Know the trick is in separate the fraction in two others as this example:

$\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$

So in our case we have:

$y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}$

That correspond to D