Question

How do you solve the system `x^2=6y` and `y=-x`?

Answer 1

`x = -6`

Explanation:

As `y = -x`, `6y = -6x`

So `x^2 = -6x`

Therefore;

`x = -6`

Now we substitute `x` into an earlier equation which still has `y` in it.

`y = color (blue)(-x)`

`y = - color (blue)(-6)`

`y = 6`