Question

Which ordered pair is a solution to this equation?

2x - 9y = 38

(7, 5)

(4, -1)

(3, -3)

(1, -4)

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