In this problem, a, b, c, and d are nonzero integers. If (a)/(b) is added to x, the sum is (c)/(

Question

In this problem, \( a, b, c \), and \( d \) are nonzero integers. If \( \frac{a}{b} \) is added to \( x \), the sum is \( \frac{c}{d} \). Which statement can be used to prove that \( x \) must be a rational number? \( x=\frac{c-a}{d-b} \) \( x=\frac{c b+a d}{b d} \) \( x=\frac{c+a}{d-b} \) \[ x=\frac{c b-a d}{b d} \]

          In this problem, \( a, b, c \), and \( d \) are nonzero integers. If \( \frac{a}{b} \) is added to \( x \), the sum is \( \frac{c}{d} \). Which statement can be used to prove that \( x \) must be a rational number?
\( x=\frac{c-a}{d-b} \)
\( x=\frac{c b+a d}{b d} \)
\( x=\frac{c+a}{d-b} \)
\[
x=\frac{c b-a d}{b d}
\]

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

x=(c b-a d)/(b d)

Added by Tammy J.

Geometry

Harold R. Jacobs 2nd Edition

Chapter 10

Instant Answer

Solved by Expert Sri K

12/18/2022

Step 1

Step 1: Start with the given equation where \( \frac{a}{b} \) is added to \( x \) to get \( \frac{c}{d} \): \[ x + \frac{a}{b} = \frac{c}{d} \] Show more…

Show all steps

Thanks for your feedback!

In this problem, \( a, b, c \), and \( d \) are nonzero integers. If \( \frac{a}{b} \) is added to \( x \), the sum is \( \frac{c}{d} \). Which statement can be used to prove that \( x \) must be a rational number? \( x=\frac{c-a}{d-b} \) \( x=\frac{c b+a d}{b d} \) \( x=\frac{c+a}{d-b} \) \[ x=\frac{c b-a d}{b d} \]