Respuesta :

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]

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