Since y equals we can substitute the expression into y of the 1st equation. This will eliminate y so we can solve for x.
Replace y with . Since this eliminates y, we can now solve for x.
Distribute -4 to
Subtract from both sides
Combine the terms on the right side
Now combine the terms on the left side.
Since this expression is true for any x, we have an identity.
So there are an infinite number solutions. The simple reason is the 2 equations represent 2 lines that overlap each other. So they intersect each other at an infinite number of points.
If we graph and we get
we can see that these two lines are the same. So this system is dependent