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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.

A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b

Answer :

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Prove of rational number

Given nonzero integers:

a, b, c, d

  • If a/b is added to x

a/b + x

  • the sum is c/d

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

  • subtract a/b from both sides

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

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