PLZ HELP!! 20 points!

Is (3,-2) the solution to this system of equations? show how you determined your answer.

-2x-4y=2
3x+4y=8

Respuesta :

To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.

Let's plug it into the first equation first:

-2(3) - 4(-2) might = 2
-6 + 8 = 2

The first equation is true. 

Now, we need to check the second equation:

3(3) + 4(-2) might =8
9 - 8 does not = 8

Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution. 

Hope this helps!