Question

What are the coordinates of 2x-4y=6 and 3x+y=-5 ?

Answer 1

The coordinates are x = -1 and y = -2.

Explanation:

Given:

Equations are 2x-4y=6 and 3x+y=-5.

Now, to find the coordinates.

`2x-4y=6`...........(1)

`3x+y=-5`...........(2)

So, first we solve the equation 1 to get the value of
`x`.

`2x-4y=6`

Subtracting both sides by
`-4y` we get:

`2x=6+4y`

Dividing both sides by 2 we get:

`x=3+2y`

Now, we put the value of
`x` in equation 2 to get
`y`.

`3x+y=-5`

`3(3+2y)+y=-5`

`9+6y+y=-5`

`9+7y=-5`

On solving the whole equation we get :

`y=-2`

And, now putting the value of
`y` in equation (1) we get
`x`:

`2x-4y=6`

`2x-4(-2)=6`

`2x+8=6`

`2x=6-8`

`2x=-2`

on solving we get:

`x=-1`

Therefore, the coordinates are x=-1 and y=-2.