Which of the following would be a possible solution to the system of inequalities given below?

(3,-3)
(1,-7)
(6,4)
(-5,0)

Question

07-01-2021
Mathematics

Answered

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Which of the following would be a possible solution to the system of inequalities given below?

(3,-3)
(1,-7)
(6,4)
(-5,0)

Sagot :

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cosmickid287 cosmickid287 · Answer 1 · 2021-01-08T00:08:27-05:00

Answer:

(3, -3)

Step-by-step explanation:

A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.

Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:

[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]

9 is bigger than 3, so (3, -3) is a solution to that inequality.

Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:

[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]

6 is bigger than 4, so (3, -3) is a solution to that inequality too.

Since (3, -3) is a solution to both inequalities, it must be the answer.

Sagot :

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