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ReDEyeS · Answer 1 · 2023-06-19T01:25:52+0000

$f(x)=\frac{5\text{-5x}}{-6}\text{{\operatorname{\lparen}\text{3rd opt}\imaginaryI\text{on}\operatorname{\rparen}}}$

Step-by-step explanation:
$\begin{gathered} Given: \\ 5x\text{ - 6y = 5} \\ \\ We\text{ will make y the subject of formula by performing some operations} \end{gathered}$

subtract 5x from both sides of the equation:

$\begin{gathered} 5x\text{ - 5x - 6y = 5 - 5x} \\ 0\text{ - 6y = 5 - 5x} \\ -6y\text{ = 5 - 5x} \end{gathered}$

Divide both sides by -6:

$\begin{gathered} (-6y)/(-6)\text{ = }\frac{5\text{ - 5x}}{-6} \\ y\text{ = }\frac{5\text{-5x}}{-6} \end{gathered}$

The question asked that we replace y with f(x):

$f(x)\text{ = }\frac{5\text{ - 5x}}{-6}\text{ \lparen3rd option\rparen}$

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