5xy=-7y+24 ; x=-1

Answer to this problem above is y=24/5x+7 : y=12
Make sure to put the Y’s on one side of the equation then start solving.

1 answer

Certainly! Let's start with the given equation:

\[ 5xy = -7y + 24 \]

We want to isolate \(y\) on one side of the equation. First, we can rearrange the equation to put all terms involving \(y\) on one side. Let's rewrite the equation:

\[ 5xy + 7y = 24 \]

Next, we can factor out \(y\) from the left side:

\[ y(5x + 7) = 24 \]

Now, to solve for \(y\), we can divide both sides by \((5x + 7)\):

\[ y = \frac{24}{5x + 7} \]

Now we substitute \(x = -1\) into the equation to find the value of \(y\):

\[ y = \frac{24}{5(-1) + 7} \]

Now let's simplify the denominator:

\[ y = \frac{24}{-5 + 7} \] \[ y = \frac{24}{2} \] \[ y = 12 \]

So, when \(x = -1\), the value of \(y\) is \(12\).

Therefore, the solution to the problem is:

  • \(y = \frac{24}{5x + 7}\)
  • \(y = 12\) when \(x = -1\).