The equation K = 4a + 9ab solved for a is a = K /(4 + 9b). (Option D)
In mathematics, an equation refers to a formula that expresses the equality of two mathematical expressions by connecting them with the equals sign =.
The given equation is K = 4a + 9ab.
In order to solve for a, the a variable must be isolated at one side of the equation and the other variables must be collected on the other sides.
On the right-hand side, as both terms contain the variable a, hence factoring it,
K = a(4 + 9b)
Dividing both sides by (4 + 9b) to isolate a,
a = K /(4 + 9b)
Note: The question is incomplete. The complete question probably is: Solve the equation for a in K = 4a + 9ab. A) a = K(4 + 9b) B) a = 4(K + 9b) C) a = (4 + 9b)/K D) K /(4 + 9b)
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