Respuesta :

Answer:

[tex]\frac{20}{3}[/tex]

Step-by-step explanation:

we have  : lines 2 x + 4 y = 0 and 2 x + y = 10

   Let ,

2 x + 4 y = 0............. (1)

2 x + y = 10...............(2)

solve these equations for x and y

Now subtract (2)  from (1) ,we get

3y=-10

⇒y = [tex]\frac{-10}{3}[/tex]

Put the value of y in (1) , we get

2x+4([tex]\frac{-10}{3}[/tex]) = 0

⇒2x= [tex]\frac{40}{3}[/tex]

⇒x=[tex]\frac{20}{3}[/tex]

∴ Point  of intersection is [tex](\frac{20}{3},\frac{-10}{3} )[/tex].

Hence,the x-coordinate of that point is [tex]\frac{20}{3}[/tex].