Question

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

Answer 1

C is the answer you would want to use because (2, -4) is a solution to the equation.

Answer 2

Keywords:

equation, variables, ordered pairs, solution

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