Question

2x+4y=8

x+2y=4

Which of the following statements is true about the ordered pair (-2,3) is TRUE?


1. It is one of many solutions to the system

2. It is not a solution to either equation

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

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

Answer 1

(-2, 3) is one of many solutions to the system

Explanation:

Let's actually solve the system so that we can compare the result with the given pair (-2, 3):

Multiplying the second equation by -2 results in:

2x + 4y = 8

-2x - 4y = -8

We see that these equations are identical. Thus, there are infinitely many solutions.

1. is true: (-2, 3) is one of many solutions to the system

The other three possible answers are incorrect.