2x+4y=8 x+2y=4

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

The answer is (1).

The system has many solutions, equation 1 is same as equation 2. You now just have one equation with 2 unknowns, it have infinity solutions.

Answer 2

just one of infinitely many solutions

the 1st equation is just double the 2nd equation. They are linearly dependent

try graphing them, you get the same line

plug x=-2 and y=3 into each equation. it satisfies both.

let x=0, then y = 2 for both equations. (0,2) is another solution. That eliminates all but the first answer

Answer 3

If you multiply both sides of equation 2 you will see it is really identical to equation 1 so whatever is true for one is true for the other. If you plug in -2 for x and 3 for y you will see that it produces a true statement so choice 1 is the correct answer