Question

What is the answer to
8x+14y=4
-6x-7y=10

Answer 1

`x = - 6 \: \: y = (26)/(7)`

Explanation:

We want to solve the system

8x+14y=4

-6x-7y=10

We multiply the first equation by 6 and the second equation by 8 to get:

48x+84y=24

-48x-56y=80

Add both equation to get:

28y=104

`y = (104)/(28) = (26)/(7)`

We substitute this value into 8x+14y=4

`8x + 14 * (26)/(7) = 4`

`8x + 52 = 4`

`8x = 4 - 52`

`8x = - 48`

`x = ( - 48)/(8) = - 6`