The rearranged form needed for x being the subject in the equation a =7x/(k-r) is x = a(k-r)/7
Subject in an equation is the/a variable(s) we're solving the equation for.
Usually we want it to stay separated and clean without mixing with other constants or variables so that its value is clearly visible.
For this case, the equation given is:
[tex]a = \dfrac{7x}{(k-r)}[/tex]
The variable x has to be subject, so let we arrange the equation so that x is on one side, and rest of the terms on other side as the value of x.
[tex]a = \dfrac{7x}{(k-r)}\\\\\text{Multiplying (k-r) on both the sides}\\\\a(k-r) = 7x\\7x = k-r\\\\\text{Divide both the sides by 7}\\\\\dfrac{7x}{7} = \dfrac{a(k-r)}{7}\\\\x = \dfrac{a(k-r)}{7}[/tex]
Thus, the rearranged form needed for x being the subject in the equation a =7x/(k-r) is x = a(k-r)/7
Learn more about subject in an equation here:
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