Alright, let's dive into the chaos of these equations and find the order within! First, we can simplify the second equation, 4x = 12 - 4y, to x = 3 - y by dividing everything by 4.
Now we've got:
x + y = 3
x = 3 - y
Substitute the second into the first:
(3 - y) + y = 3
Solve for y:
3 = 3
This tells us that y can be any value, and x will adjust to make the equation true. It's a dependent system, my friend! The lines are the same, so they intersect everywhere.
