Respuesta :

Answer:

[tex]\frac{17x-2}{5x-2}[/tex]

Step-by-step explanation:

10x/5x-2 + 7x-2/5x-2

[tex]\frac{10x}{5x-2} + \frac{7x-2}{5x-2}[/tex]

Here both fractions have same denominator 5x-2

When the denominators are same then we can combine the numerators

we put denominator only once

[tex]\frac{10x+7x-2}{5x-2}[/tex]

Now we simplify it

Combine like terms: 10x+7x becomes 17x

[tex]\frac{17x-2}{5x-2}[/tex]

There is no common factor for the top and bottom

So we cannot simplify further