Answer: [tex]y=\frac{x}{p+q}[/tex]
Step-by-step explanation:
Given the following equation provided in the exercise:
[tex]yp+yq=x[/tex]
You can follow these steps in order to solve the equation for the variable "y":
1. You must factor the left side of the equation by taking Common factor:
[tex]y(p+q)=x[/tex]
2. Finally, you need to divide both sides of the equation by [tex]p+q[/tex]. Then, you get:
[tex]\frac{y(p+q)}{(p+q)}=\frac{x}{(p+q)}\\\\y=\frac{x}{p+q}[/tex]