Question

Which linear equation can be derived from this proportion?

Answer 1

9514 1404 393

Answer:

  D.  2x - 6 = 5x - 45

Step-by-step explanation:

To make the linear equation, we can multiply the given equation by 5(x-3).

  $\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}$