x = 8 a b + 9 The given equation relates the positive numbers a , b , and x

Question

x = 8 a b + 9 The given equation relates the positive numbers a , b , and x . Which equation correctly expresses a in terms of b and x ?

Accepted Answer

Choice B is correct. To express a in terms of b and x , the given equation can be rewritten such that a is isolated on one side of the equation. Since it&rsquo;s given that b is a positive number, b + 9 is not equal to zero. Therefore, dividing both sides of the given equation by 8 b + 9 yields the equivalent equation x 8 b + 9 = a , or a = x 8 b + 9 . Choice A is incorrect. This equation is equivalent to x = 8 a + b + 9 . Choice C is incorrect. This equation is equivalent to x = 8 b + 9 a . Choice D is incorrect. This equation is equivalent to x = a 8 b + 9 .

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