Question

Solve the system of equations below.
-x-2y=3
x+2y=-3

Answer 1

You sure?

Answer 2

So, the answer is infinite answers?

Answer 3

To solve this system of equations, we will use the method of elimination.

Add the two equations together to eliminate the y variable:
(-x - 2y) + (x + 2y) = 3 + (-3)
0 = 0

Since the left side equals to 0 and the right side equals to 0, this indicates that the two original equations are actually equivalent to each other. In other words, the system of equations has infinitely many solutions and can be represented by one equation:

-x - 2y = 3

This means that for any value of x or y that satisfies this equation, both of the original equations will be true.

Answer 4

Oops, I made a mistake in my previous response. Let's go through the solution again.

Given equations:
1) -x - 2y = 3
2) x + 2y = -3

Let's add the two equations together to eliminate the y variable:
(-x - 2y) + (x + 2y) = 3 + (-3)
0 = 0

This indicates that the system of equations is dependent, meaning that the two equations represent the same line and have infinitely many solutions. The solution to this system is all the points that lie on the line represented by the given equations.

Answer 5

Yes, that's correct. The system of equations has infinitely many solutions, meaning that there are infinite pairs of (x, y) values that satisfy both equations in the system. This is because the two original equations represent the same line and overlap each other, hence having infinite points in common.