Question

Which ordered pair is a solution to this equation?

Answer 1

Let's test each alternative :

2 x - 9 y = 38      ( 7,5 ) :

( 2 * 7 ) -  ( 9 * 5 ) = 38

14 - 45  = 38

-31 ≠ 38   (  wrong )

( 4 , - 1 ) :

( 2 * 4 ) - ( 9 * ( - 1 ) =  38

8 + 9  = 38

17 ≠ 38  ( wrong )

( 3 , - 3 ) :

2 * ( 3 ) - ( 9 * ( - 3 ) = 38

6 + 27 = 38

33 ≠ 38  ( wrong )

( 1 , - 4 ) :

2* ( 1 ) - 9 * ( - 4 ) = 38

2 + 36 = 38

38 = 38    ( Correct alternative )

( 1 , - 4 ) is correct alternative