Question

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

y = 8x + 3
12y = 2x + 1
12y = 8x + 3

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=(2)/(3)x+(1)/(4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

The simplification of equation (i) is as follows :

`y=(2)/(3)x+(1)/(4)\\\\\\\Rightarrow y=(2*4x+1*3)/(12)\\\\\\\Rightarrow y=(8x+3)/(12)\\\\\Rightarrow 12y=8x+3.`

Thus, the required equivalent equation is
`12y=8x+3.`

Option (C) is CORRECT.