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

Question

asked Dec 21, 2022 72.5k views

1 Answer

Dan Stocker · Answer 1 · 2022-12-27T21:37:25+0000

Answer:

(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