-x=8-4y

Answer to this problem above is y=1/4x+2

1 answer

Let's solve the equation \(-x = 8 - 4y\) for \(y\) and see if we can express it in the form \(y = \frac{1}{4}x + 2\).

Starting with the original equation:

\[ -x = 8 - 4y \]

We can rearrange it to isolate \(y\). First, let's add \(4y\) to both sides:

\[ -x + 4y = 8 \]

Next, we can add \(x\) to both sides:

\[ 4y = x + 8 \]

Now, divide both sides by 4 to solve for \(y\):

\[ y = \frac{1}{4}x + 2 \]

So the equation \(y = \frac{1}{4}x + 2\) is indeed the correct solution to the original equation \(-x = 8 - 4y\).