Question

What is the solution when
9x+6y=-3

x+8y=29

Answer 1

We have

`9x + 6y = - 3 - - - (1)`
and


`x + 8y = 29`

`\rightarrow \: x = 29 - 8y - - - (2)`


Using elimination will be faster, so plug in equation (2) in equation (1)


`9(29 - 8y) + 6y = - 3`

Expand brackets, we obtain,


`261-72y+6y=-3`
Simplifying gives,


`-66y=-264`


`y = ( - 264)/( - 66) = 4`

`x = 29 - 8(4) = - 3`