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Mumz [18]
3 years ago
6

Which ordered pairs is a solution to −5x + 3y > 12?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0
Given the inequality statement, -5x + 3y > 12

We’ll substitute the given points to determine which is a solution that satisfies the inequality:

(3, 9):
-5(3) + 3(9) > 12
-15 + 27 > 12
12 > 12 (False statement, as 12 ≯ 12)


(-5, 5):

-5x + 3y > 12

-5(-5) + 3(5) > 12

25 + 15 > 12

40 > 12 (True statement). Thus, it is a solution.


(3, -6)
-5(3) + 3(-6) > 12
-15 - 18 > 12
-33 > 12 (False statement. -33 ≯ 12).


(-2, -5)
-5(-2) + 3(-5) > 12
10 - 15 > 12
-5 > 12 (False statement. -5 ≯ 12).

Therefore, the only solution is (-5, 5).

Please mark my answer as the Brainliest, if you find my explanations/solution helpful :)

In-s [12.5K]3 years ago
7 0

<u>Answer </u><u>:</u><u>-</u>

Given inequality ,

  • -5x +3y > 12
  • 3y > 5x + 12
  • y > 5/3x + 12/3
  • y > 5/3x + 4

From the options ,

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>

  • y >1* 5 + 4
  • y > 5 +4
  • 9> 9 ( Not possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>

  • y > 5/3*-5 + 4
  • y > -8.3 + 4
  • 5 > -3.7 ( Possible )

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>

  • y > 5 + 4
  • -6 > 9 ( Not possible )

<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>

  • y > -3.33 + 4
  • -5 > -0.67 ( Possible )

<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>

  • y > 3.33 + 4
  • 8 > 7.77 ( possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>

  • y > -10 +4
  • 0 > -6 ( possible )
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