Question

Which of the following equations is equivalent to 1/4x - 1/2y = 8?

(A) 2x - 4y = 8
(B) 2x - 4y = 64
(C) 4x - 2y = 64

Answer 1

Answer:C

Step-by-step explanation:4x _2y =64 because 8×8= 64

Answer 2

For this case we must find an equation equivalent to:

`\frac {1} {4} x- \frac {1} {2} y = 8`

We add
`\frac {1} {2}` and on both sides of the equation:

`\frac {1} {4} x = 8 + \frac {1} {2}y`

We multiply by 4 on both sides of the equation:

`x = 32 + \frac {4} {2}y\\x = 32 + 2y`

Multiplying by 2 on both sides of the equation:

`2x = 64 + 4y\\2x-4y = 64`

Answer:

Option B