2x-4y=6 and 3x+y=-5 what is the point of intersection

  (x, y) = (-1, -2)

Step-by-step explanation:

I like a graphing calculator for solving systems of equations. It shows the point of intersection is (-1, -2).

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You can add 4 times the second equation to the first:

  (2x -4y) +4(3x +y) = (6) +4(-5)

  14x = -14 . . . . simplify

  x = -1 . . . . . . . divide by 14

Now, you can put this value in the second equation to get ...

  3(-1) +y = -5

  y = -2 . . . . . . . add 3

The point of intersection is (x, y) = (-1, -2).