Answer:
b)
The point is (-1,5) and (0,0) also satisfies the given inequalities
The solution of the given inequalities
(x, y) = (4 , -2 )
Step-by-step explanation:
Step(i):-
Given system of equations are
3x + 2y < 8
-5x - 9y > -2
The solution of the given equations are
3x + 2y = 8 multiply '5'
-5x - 9y = -2 multiply '3'
15 x + 10 y = 40 ...(i)
-15x - 27 y = -6.....(ii)
Adding (i) and (ii) , we get
- 17 y = 34
y = -2
Substitute y = -2 in equation 3x + 2y =8
3x - 4 =8
3x = 12
x =4
The solution of the given system of inequalities
(x, y) = (4 , -2 )
Step(ii):-
3x + 2y < 8
-5x - 9y > -2
The point is (-1,5)
-3 + 10 < 8
7 < 8
5 - 45 > -2
-40 > -2
The point (0,0) also satisfies the given inequalities
Final answer :-
The point is (-1,5) and (0,0) also satisfies the given inequalities
