neal0
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.