72.5k views
3 votes
Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7

User Kwishnu
by
3.6k points

1 Answer

0 votes

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

User Dan Stocker
by
3.6k points