Question

Solve this system of equations by using the elimination method. x+4y=9 2x-4y=-6

Answer 1

`x=6`

`y=(3)/(4)`

Explanation:

Given the following question:


`x+4y=9`

`2x-4y=9`

To solve using the elimination method we will add the two equations together to find the two individual values.


`x+2x=3x`

`4y-4y=0`

`9+9=18`

`3x=18`

`(3x)/(3) =x`

`18/3=6`

`x=6`


`x+4y=9`
Substitute six in for x:

`x=6`

`6+4y=9`
Solve for y:

`6-6=0`

`9-6=3`

`(4y)/(4) =y`

`3=(3)/(4)`

`y=(3)/(4)`

x is equal to 6, and y is equal to 3/4.

Hope this helps.