Question

How do you solve the following system?: `2x +y =7, 8x -7y = 0`

Answer 1

`x=49/22`

`y=28/11`

Explanation:

`2x+y=7` or `8x+4y=28`

`8x-7y=0`

or

`8x=7y`

Plugging the value `8x=7y` in the equation

`8x+4y=28`

We get

`7y+4y=28`

or

`11y=28`

or

`y=28/11`------------------------------Ans `1`

Plugging the value `y=28/11` in the equation `2x+y=7`

We get

`2x+28/11=7`

or

`2x=7-28/11`

or

`x=49/11times1/2`

or

`x=49/22`----------------------------------Ans `2`