Question

The graphs of the lines 2 x + 4 y = 0 and 2 x + y = 10 intersect in a point. What is the x-coordinate of that point?

Answer 1

Answer:

$\frac{20}{3}$

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 = $\frac{-10}{3}$

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

2x+4($\frac{-10}{3}$) = 0

⇒2x= $\frac{40}{3}$

⇒x=$\frac{20}{3}$

∴ Point  of intersection is $(\frac{20}{3},\frac{-10}{3} )$.

Hence,the x-coordinate of that point is $\frac{20}{3}$.