Question

Simplify 5/8x -2y +3/4x-8y

Answer 1

On simplification,
`(5)/(8)x - 2y + (3)/(4)x -8y   =   ((11)/(8)) x - 10y`

Explanation:

Here, the given expression is:

`(5)/(8)x - 2y + (3)/(4)x -8y`

Now, we can perform operations only on LIKE TERMS,

So, in this expression, separate the like terms we get:

`(5)/(8)x - 2y + (3)/(4)x -8y  =  (5)/(8)x +  (3)/(4)x - 2y -8y\\= ((5)/(8) +  (3)/(4))x -(2y + 8y)  = ((5 + 3(2))/(8)) x - (10y)\\= ((11)/(8)) x - 10y\\\implies  (5)/(8)x - 2y + (3)/(4)x -8y   =   ((11)/(8)) x - 10y`

Hence, on simplification,
`(5)/(8)x - 2y + (3)/(4)x -8y   =   ((11)/(8)) x - 10y`