Question

Which ordered pair is a solution to the equation 2x - 4y = 18?

(-1, 4)
(0, 4)
(9, 2)
(11, 1)

Answer 1

(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end

Answer 2

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 :

`2x-4y=18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`L.H.S.=2x-4y=2*(-1)-4*4=-2-16=-18\\eq 18\\\\\Rightarrow L.H.S.\\eq R.H.S.`

So, the ordered pair (-1, 4) is NOT a solution to equation (i).

(B) (0, 4).

For x = 0 and y = 4, we have

`L.H.S.=2x-4y=2*0-4*4=0-16=-16\\eq 18\\\\\Rightarrow L.H.S.\\eq R.H.S.`

So, the ordered pair (0, 4) is NOT a solution to equation (i).

(C) (9, 2).

For x = 9 and y = 2, we have

`L.H.S.=2x-4y=2*9-4*2=18-8=10\\eq 18\\\\\Rightarrow L.H.S.\\eq R.H.S.`

So, the ordered pair (9, 2) is NOT a solution to equation (i).

(D) (11, 1).

For x = 11 and y = 1, we have

`L.H.S.=2x-4y=2*11-4*1=22-4=18\\\\\Rightarrow L.H.S.\\eq R.H.S.`

So, the ordered pair (11, 1) is a solution to equation (i).

Thus, the correct option is (D).