neal0
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Consider the system of inequalities.
3x + 2y < 8
-5x - 9y > -2
Select all ordered pairs that are solutions to the system of inequalities.
(-10, -3)
a)
b)
(-1, 5)
(0, 0)
d)
(1, -1)

Sagot :

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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.