Question

Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation

6x - y/2 = 14?
•
(-9, 3) is a solution to the equation.
(2, - 4) is a solution to the equation.
Neither ordered pair is a solution.
Both ordered pairs are solutions.

Answer 1

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

Explanation:

Substitute the x and y coordinates of the points into the left side of the equation and if equal to the right side then they are a solution.

(- 9, 3 )

6(- 9) -
`(3)/(2)`

= - 54 - 1.5 = - 55.5 ≠ 14 ← not a solution

(2, - 4)

6(2) -
`(-4)/(2)`

= 12 + 2 = 14 ← This is a solution

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