The solution for x is equal to x = (4 · y) / (r + 6).
<h3>How to find an explicit solution of an algebraic equation</h3>
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).
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