Respuesta :

The solution for x is equal to x = (4 · y) / (r + 6).

How to find an explicit solution of an algebraic equation

In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:

(r · x + 6 · x) / y = 4             Given

(r · x + 6 · x) = 4 · y             Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

x · (r + 6) = 4 · y                  Distributive property

x = (4 · y) / (r + 6)                Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result

The solution for x is equal to x = (4 · y) / (r + 6).

To learn more on equations: https://brainly.com/question/10413253

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