Respuesta :
(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end
Answer: The correct option is (D) (11, 1).
Step-by-step explanation: We are given to select the correct ordered pair that is a solution to the following equation :
[tex]2x-4y=18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
If an ordered par is a solution to the given equation (i), it must satisfy the equation.
(A) (-1, 4).
For x = -1 and y = 4, we have
[tex]L.H.S.=2x-4y=2\times(-1)-4\times4=-2-16=-18\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.[/tex]
So, the ordered pair (-1, 4) is NOT a solution to equation (i).
(B) (0, 4).
For x = 0 and y = 4, we have
[tex]L.H.S.=2x-4y=2\times0-4\times4=0-16=-16\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.[/tex]
So, the ordered pair (0, 4) is NOT a solution to equation (i).
(C) (9, 2).
For x = 9 and y = 2, we have
[tex]L.H.S.=2x-4y=2\times9-4\times2=18-8=10\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.[/tex]
So, the ordered pair (9, 2) is NOT a solution to equation (i).
(D) (11, 1).
For x = 11 and y = 1, we have
[tex]L.H.S.=2x-4y=2\times11-4\times1=22-4=18\\\\\Rightarrow L.H.S.\neq R.H.S.[/tex]
So, the ordered pair (11, 1) is a solution to equation (i).
Thus, the correct option is (D).
