Determine which of the ordered pairs are solutions to the given equation. $$6 y - 5 x = 18$$
A) $( 3,0 ) , ( 12 , - 13 )$
B) $( 0,13 ) , ( 12,3 )$
C) $( 0 , - 3 ) , ( 12 , - 13 )$
D) $( 0,3 ) , ( 12,13 )$

Question

Quizplus · Accepted Answer

To determine if an ordered pair $(x, y)$ is a solution to the equation $6y - 5x = 18$, we substitute $x$ and $y$ into the equation and see if the equation holds true.For choice D:- For $(0,3)$, substituting $x = 0$ and $y = 3$ gives $6(3) - 5(0) = 18$, which simplifies to $18 = 18$, true.- For $(12,13)$, substituting $x = 12$ and $y = 13$ gives $6(13) - 5(12) = 78 - 60 = 18$, which is also true.Therefore, both ordered pairs in choice D are solutions to the equation.

Determine Which of the Ordered Pairs Are Solutions to the Given