Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `x+y= 10` and `x-y= -8`?

Answer 1

`x=1`

`y=9`

Explanation:

`x+y=10` `(1)`

`x-y=-8` `(2)`

`(1)+(2)`

`2x=2`

`x=1`

`y+1=10`

`y=9`

Now we need to check our values in the second equation:

`1-9=-8=(2)`

We have proven that this system is consistent