MohammedI348752 MohammedI348752
  • 28-10-2022
  • Mathematics
contestada

5x – 3y < 12x - 4y > 16Identify 3 solutions to the system of inequalities .. hurry up please

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AabanK515307 AabanK515307
  • 28-10-2022

(-1,5) , (-2,-6) and (-3,-7)

Let's plot that system below:

5x – 3y < 12

x - 4y > 16

The solutions will be located at the darker blue area

So we can locate three solutions, (-1,5) , (-2,-6) and (-3,-7)

Like this:

Let's test them

(-1,-5)

5(-1) -3(-5) <12

10 < 12 True

(-1) -4(-5)>16

-1 +20>16

19>16 True

(-2,-6)

5(-2) -3(-6) <12

-10+18<12 True

-2 -4(-6) >16

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