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liberstina [14]
2 years ago
5

Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y/2=14 

Mathematics
2 answers:
Lapatulllka [165]2 years ago
5 0
C is the answer you would want to use because (2, -4) is a solution to the equation.
luda_lava [24]2 years ago
5 0

Keywords:

<em>equation, variables, ordered pairs, solution </em>

For this case, an equation with two variables, "x" and "y" respectively, given by: 6x- \frac {y} {2} = 14. We must say which of the given statements is true, having as data the following ordered pairs : (x_ {1}, y_ {1}) = (- 9, 3)\ and\ (x_ {2}, y_ {2}) = (2, -4) To know if the ordered pairs are equation solution , we must replace the values of x and y in the equation and observe if equality is met, if it is met, then the chosen pair is the solution of the equation.

So:

We substitute (x_ {1}, y_ {1}) = (- 9, 3)

6 (-9) - \frac {3} {2} = 14\\-54-1.5 = 14\\-55.5 = 14

It is observed that the equality is not met, so (x_ {1}, y_ {1}) = (- 9, 3) is not a solution of the given equation.

We substitute (x_ {2}, y_ {2}) = (2, -4)

6 (2) - \frac {-4} {2} = 14

We take into account that - * - = +

12 + 2 = 14\\14 = 14

It is observed that the equality is fulfilled, thus, (x_{2}, y_{2}) = (2, -4) is a solution of the given equation.

Answer:

Option C

(2, -4) is a solution to the equation

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