Question

What are the boundaries of x and y if `2x - 3y >= 9 and - x - 4y >= 8?`?

Answer 1

`x>=37/25`
`y>=25/11`.

Explanation:

`2x-3y>=9`

`(-x-4y>=8)*2 = -2x-8y>=16`

add `2x-3y>=9`
+ `-2x-8y>=16`

You get `11y>=25`
So, `y>=25/11`.
You plug in `25/11` into one of the equation and solve for x.
`2x-3(25/11)>=9`
`2x>=74/25`
`x>=37/25`