Question

How do solve the following linear system?: `x-3y=-1 , 6x-4y=-1`?

Answer 1

`x=1/14`, `y=5/14`

Explanation:

Since both expressions equal `-1`, the expressions must equal each other. So, we know that

`x-3y=6x-4y`, and thus `5x=y`.

Substitute this relation for `y` in the first equation, to obtain

`x-3(5x)=-1`, and so `-14x=-1`, and finally `x=1/14`.

Since `y` is five time `x`, then we have `y=5/14`.