Question

2x + 4y = 8 x + 2y = 4 Which of the following statements about the ordered pair (–2, 3) is TRUE?

A.It is a solution to the first equation but not the second equation.

B.It is the only solution to the system of equations.

C.It is one of many solutions to the system.

D.It is not a solution to either equation.

Answer 1

Option D

Step-by-step explanation:

The two equations given here are

a) 2x + 4y = 4

b) 8 x + 2y = 4

On solving the above two equations we get

4 (2x + 4y = 4) - Eq (1)

8 x + 2y = 4 - Eq (2)

The equation now is as follows -

8 x + 16y = 16 - Eq (1)

8 x + 2y = 4 - Eq (2)

Substracting equation (2) from equation (1), we get -

8 x + 16y = 16 - Eq (1)

- 8 x - 2y = -4 - Eq (2)

14 y = 12

y = 6/7

Hence the given value of X and Y i.e (-2, 3) is not the solution to any of the equation.

Hence Option D is correct