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

`(20)/(3)`

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 =
`(-10)/(3)`

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

2x+4(
`(-10)/(3)`) = 0

⇒2x=
`(40)/(3)`

⇒x=
`(20)/(3)`

∴ Point of intersection is
`((20)/(3),(-10)/(3) )`.

Hence,the x-coordinate of that point is
`(20)/(3)`.