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Alisiya [41]
3 years ago
14

QuCSLIUI 10 POILS) If (a, -5) is a solution to the equation 3a = -2b - 7, what is a?

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

a=1

Step-by-step explanation:

all work is shown and pictured

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Choice A is the answer which is the point (1,-1)

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How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

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checking choice A

plug in (x,y) = (1,-1)

y - 2x \le -3

-1 - 2(1) \le -3

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This is true because -3 is equal to itself. So this is the answer.

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checking choice B

plug in (x,y) = (2,4)

y - 2x \le -3

4 - 2(2) \le -3

0 \le -3

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

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checking choice C

plug in (x,y) = (-2,3)

y - 2x \le -3

3 - 2(-2) \le -3

7 \le -3

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

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checking choice D

plug in (x,y) = (3,4)

y - 2x \le -3

4 - 2(3) \le -3

-2 \le -3

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.


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