Question

X + 3y < -18
5x + 2y <14

Answer 1

The solution will be the shaded region for both.

Explanation:

First we need to solve x + 3y = -18 and 5x + 2y = 14.

`x = -18 - 3y`.

Putting the above value in the second equation, we get,
`5x + 2y = 14\\5(-18 - 3y) + 2y = 14\\-90 -15y - 2y = 14\\17y = - 104\\y = - (104)/(17) = 6.2`.

Hence,
`x = -18 - 3y = -18 -3*(104)/(17) = -36.353`