2 Make $$ x $$ the nubject of the formula. $$ y=\frac{5(p-2 x)}{x} $$

Question

UpStudy AI · Accepted Answer

To make $$ x $$ the subject of the formula $$ y = \frac{5(p - 2x)}{x} $$, we can follow these steps:

1. Start with the equation:
   $$
   y = \frac{5(p - 2x)}{x}
   $$

2. Multiply both sides by $$ x $$ to eliminate the fraction:
   $$
   yx = 5(p - 2x)
   $$

3. Distribute the right side:
   $$
   yx = 5p - 10x
   $$

4. Rearrange the equation to get all terms involving $$ x $$ on one side:
   $$
   yx + 10x = 5p
   $$

5. Factor out $$ x $$ from the left side:
   $$
   x(y + 10) = 5p
   $$

6. Finally, solve for $$ x $$ by dividing both sides by $$ y + 10 $$:
   $$
   x = \frac{5p}{y + 10}
   $$

Thus, the expression for $$ x $$ in terms of $$ y $$ and $$ p $$ is:
$$
x = \frac{5p}{y + 10}
$$
$$ x = \frac{5p}{y + 10} $$

2 Make \( x \) the nubject of the formula. \( y=\frac{5(p-2 x)}{x} \)