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romanna [79]
3 years ago
5

Which ordered pair is a solution to the equation 3x + 5y = 9?

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
To figure out which ordered pair is a solution to the equation 3x + 5y = 9, substitute the coordinates of each answer choice into the equation. Remember that coordinates are written as (x, y) where the first number in the parentheses is x in the equation and the second number is y in the equation.

A. (-2, -3)
x = -2, y = -3
Substituting into the equation gives
3(-2) + 5(-3) = 9
-6 - 15 = 9
-21 = 9

This does not satisfy the equation, so (-2, -3) is not a solution.

B. (2, 3)
x = 2, y = 3
3(2) + 5(3) = 9
6 + 15 = 9
21 = 9

21 does not equal 9; therefore (2, 3) is not a solution.

C. (-2, 3)
x = -2, y = -3
3(-2) + 5(3) = 9
-6 + 15 = 9
9 = 9

This satisfies the equation, so (-2, 3) is a solution.

D. (2, -3)
x = 2, y = -3
3(2) + 5(-3) = 9
6 - 15 = 9
-9 = 9

This does not satisfy the equation; therefore (2, -3) is not a solution.
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We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):

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we also need to set-up another equation using the distance:

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