In this problem, a, b, c and d are nonzero integers. if a/b is added to x, the sum is c/d. which statement can be used to prove that x must be a rational number? x = cb+ad/bdx = cb-ad/bdx = c+a/d-bx = c-a/d-b

The correct answer would be x = cb-ad/bd.

In order to get this, you would need to first solve the equation for x and then standardize the denominator on the right side. Below if the work for you.

a/b + x = c/d > subtract a/b from both sides

x = c/d - a/b > multiply c/d by b/b

x = cb/bd - a/b > multiply a/b by d/d

x = cb-ad/bd

The correct answer would be x = cb-ad/bd.

Step-by-step explanation:

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