Question

Which expression is equivalent to 7/8 + 3/8x − 1/4y + 3/4y − 1/2?

Answer 1

• Option B

Step-by-step Solution:

• 7/8 + 3/8x − 1/4y + 3/4y − 1/2
• => (3x/8) + (-y/4 + 3y/4) + (7/8 - 1/2)
• => (3x/8) + (y/2) + (7/8 - 4/8)
• => (3x/8) + (y/2) + (3/8)
• => 3x/8 + y/2 + 3/8

Hence, Option B is correct.

Answer 2

`(3)/(8) x+(1)/(2) y+(3)/(8)`

Explanation:

Gather like terms:

`(3)/(4)y-(1)/(4)y=(2)/(4)y=(1)/(2)y`

`(7)/(8) -(1)/(2)=(7)/(8) -(4)/(8)=(3)/(8)`

Therefore, equivalent expression =
`(3)/(8) x+(1)/(2) y+(3)/(8)`