Explanation:
First we solve it.
I'll use substitution.
In the first equation y equals -2x+2 so we can apply that to the second equation
2y + 4x = 4
2(-2x+2) + 4x = 4
distribute
-4x+4+4x=4
simplify
4=4
To figure out how many solutions it has:
•If both side of the equal sign are exactly the same: Infinitely many
ex: 6x=6x
•If both sides of the equal sign do not match when completely simplified: No solutions
ex: 3x=-5x
•If it creates an equation: 1 solution
ex: x=3+2y
Since both sides of the equal sign are 4, we have infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
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