Answer:
Your point would be: (0,2)
x = 0
y = 2
Step-by-step explanation:
This would be the case if you're looking for the point by solving with substitution, or any other methods, of the systems of equations.
In any case, you are looking to find either x or y first.
I will demonstrate with the 'y' value, since it is easier when cancelling out the 'x' value.
2x - y = -2
2x + 4y = 8
(I want to make one of the two equations negative, so that I can eliminate or cancel out the 'x' value(s)).
- (2x - y = -2) --> -2x + y = 2
2x +4y = 8
---------------------------------------
5y = 10
--- ---
5 5
------------
y = 2
(Reason for putting a negative in front of the equation '2x - y = -2' was made in order to eliminate the value(s) '2x' in both equation, and in order to do that, one equation must be negative, while the other is positive, for example:
x + 2y = 6
x + 3y = 5
(You can make any of these equations negative, but only one equation is needed to be negative for the value you want to cancel out,
DO NOT TRY AND CANCEL OUT BOTH X AND Y)
-(x + 2y = 6)
Turn into:
-x - 2y = -6
x + 3y = 5
---------------
y = -1
(Back to the Original Problem)
We now need to find the 'x' value(s):
4(2x - y = -2)
8x - 4y = -8
2x + 4y = 8
----------------
10x = 0
--- ---
10 10
----------------
x = 0
Your final answer will be:
(0,2)
