Answer: x = 1, y = 2
Explanation:
So elimination is basically big subtraction.
instead of subtracting two numbers, your subtracting two equations;
so heres how it works.
We see that both equations have a common term of 4y, and since the signs of the "4y" term are alternating in the equations, (one is a + the other is a -), we can add the equations, which will cancel out the 4y.
(Basically, im saying 4y - 4y = 0)
So:
x + 4y = 9
2x - 4y = -6
+
------------------------
3x + 0 = 3
I hope you see how that works. its just like writing out a sum with numbers.
Anyways, we get 3x = 3, so x = 1, (divide both sides by 3).
Now that we know x, we can plug this value into either of the equations to get y.
ill use the first one:
x + 4y = 9
1 + 4y = 9
4y = 8
y = 2
And thats it!
x = 1, y = 2