Question

How do solve the following linear system?: `x-4y=2 , x-7y=4`?

Answer 1

`(-2/3,-2/3)`

Explanation:

Try to leave `x` alone in one side of the equation, then equate the other sides;

`x=2+4y , x=4+7y`

`2+4y=4+7y` `->` `-3y=2`
`y=-2/3`

Now, write `-2/3` instead of `y` in one of the equations, the value of `x` will be the same for both of them.

`x=2+4.(-2/3)` `->` `x=2-8/3`
`x=-2/3`