Mathematics: Which ordered pair is a solution to the equation 2x - 4y = 18? (-1, 4) (0, 4) (9, 2) (11, 1)

Which ordered pair is a solution to the equation

19cinana

04.01.2022

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

$L.H.S.=2x-4y=2\times(-1)-4\times4=-2-16=-18\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.$

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

(B) (0, 4).

For x = 0 and y = 4, we have

$L.H.S.=2x-4y=2\times0-4\times4=0-16=-16\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.$

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

For x = 9 and y = 2, we have

$L.H.S.=2x-4y=2\times9-4\times2=18-8=10\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.$

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

(D) (11, 1).

For x = 11 and y = 1, we have

$L.H.S.=2x-4y=2\times11-4\times1=22-4=18\\\\\Rightarrow L.H.S.\neq R.H.S.$

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

Thus, the correct option is (D).

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