Question

Which linear equation can be derived from this proportion?


`(x - 9)/(x - 3) = (2)/(5)`

A. 2x - 3 = 5x - 9
B. 2x - 9 = 5x - 3
C. 2x - 18 = 5x - 15
D. 2x - 6 = 5x - 45

Answer 1

The correct answer is D. 2x-6=5x-45

Explanation:

I got it right on the Plato test.

Answer 2

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Answer:

D. 2x - 6 = 5x - 45

Explanation:

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

`(x-9)/(x-3)=(2)/(5)\\\\((x-9)(5)(x-3))/((x-3))=(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.}`