Question

Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7

Answer 1

`(x,y) = (-3,2)` is a solution

Explanation:

Given

`y \le -4x + 3`

`x + 8y \ge 7`

Required

Determine if
`(x,y) = (-3,2)` is a solution

`y \le -4x + 3` becomes

`2 \le -4 * -3 + 3`

`2 \le 15` --- this is true

`x + 8y \ge 7`

`-3+ 8 * 2 \ge 7`

`13 \ge 7` --- this is also true

Hence,

`(x,y) = (-3,2)` is a solution