Question

How do you solve the system using the elimination method for x-y=1 and x+y=13?

Answer 1

This system has one solution: `x=7,y=6`

Explanation:

`{(x-y=1),(x+y=13):}`

You can see, that the coefficients of `y` in both equations are opposite numbers (-1 and 1), so if you add the equations you will get rid of one variable:

`2x=14`

Now you can divide by 2 to calculate `x=7`.

Finally when you substitute `7` for `x` in any of initial equations you calculate `x` and get the full solution.