Question

How do you solve y= 4x + 45 and x= 4y?

Answer 1

`x=-12`, `y=-3`

Explanation:

Knowing that `x=4y`, you can write the first equation as

`y=4(4y)+45 -> y=16y+45 -> -15y=45`, isolating the `y`-terms by bringing them all to the left. Now, solving by `y`, we have `y=-3`.

Since `x` was `4y`, we know that `x=4*(-3)`, and thus `x=-12` and the system is solved.