Verified Answer :

acredden

The answer would be 12y = 8x + 3
Hope this helps!

Answer:  The correct option is

(C) \(12y=8x+3.\)

Step-by-step explanation:  We are given to select the correct equation that is equivalent to the following equation :

\(y=\dfrac{2}{3}x+\dfrac{1}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

To check the equivalent expression, we need to simplify equation (i).

The simplification of equation (i) is as follows :

\(y=\dfrac{2}{3}x+\dfrac{1}{4}\\\\\\\Rightarrow y=\dfrac{2\times4x+1\times3}{12}\\\\\\\Rightarrow y=\dfrac{8x+3}{12}\\\\\Rightarrow 12y=8x+3.\)

Thus, the required equivalent equation is \(12y=8x+3.\)

Option (C) is CORRECT.

Related Questions