Question

Which of the following equations is equivalent to y = 2/3x +1/4

Answer 1

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

Answer 2

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.