Question

describe the steps you would take to transform the equation 10x + 2y = 25 into the equation y = -5x + 25/2

Answer 1

$10x + 2y = 25$
Then rearrange the equation to get 10x on the same side as 25.

Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.

Continuing on once rearranged, your equation will look like,
$2y = - 10x + 25$

Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
$\frac{2y}{2} = \frac{ - 10x + 25}{2}$
Dividing both sides by 2, you will get,
$y = - 5x + \frac{25}{2}$
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.