Question

Which statement about the ordered pairs (2, -9) and (3,6) is true for the equation 5x - y/3 = 13?

A) (3, -6) is a solution to the equation.
B) Neither ordered pair is a solution.
C) (2, -9) is a solution to the equation.
D) Both ordered pairs are solutions.

Answer 1

C) (2, -9) is a solution to the equation.

Explanation:

To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).

For (2, -9):

`\sf5x - (y)/(3) = 13\\\\5(2) - (-9)/(3) = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}`

For (3, -6);

`\sf5x - (y)/(3) = 13\\\\5(3) - (-6)/(3) = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}`

Therefore, the correct answer is C

Hope this helps!