Question

How do solve the following linear system?: `x - 3y = 8 , y = 8 x - 3`?

Answer 1

`x=1/23` and `y = -2 15/23`.

Explanation:

One method is to to replace `y` in the first equation by `(8x-3)`. You can do this because you are told that `y` has the same value as `8x-3`.

This means they are interchangeable. Substituting for `y` will lead to a linear equation with only one variable, which means you can solve it for `x`.

`x - 3(8x-3) = 8`

`x = 1/23`

Then use this value for `x` in the equation `y = 8x-3` to solve for `y`. You should get the answers given.