Respuesta :

Answer:

On simplification,  [tex]\frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y[/tex]

Step-by-step explanation:

Here, the given expression is:

[tex]\frac{5}{8}x - 2y + \frac{3}{4}x -8y[/tex]

Now, we can perform operations only on LIKE TERMS,

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

[tex]\frac{5}{8}x - 2y + \frac{3}{4}x -8y  =  \frac{5}{8}x +  \frac{3}{4}x - 2y -8y\\= (\frac{5}{8} +  \frac{3}{4})x -(2y + 8y)  = (\frac{5 + 3(2)}{8}) x - (10y)\\= (\frac{11}{8}) x - 10y\\\implies  \frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y[/tex]

Hence, on simplification,  [tex]\frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y[/tex]