Question

Question #0dfc8

Answer 1

`(0,2)`

Explanation:

Normally I wouldn't make a grammatical comment, but it seems important here. The equations are lines that intersect; there is only one solution. The solution is the point where the two lines intersect.

Two equations, two variables. Use Gauss-Jordan Elimination
`-4` `-1` `-2`
`8` `-2` `-4`

`(Row_1) * -1 => Row_1`
`4` `1` `2`
`8` `2` `-4`

`(Row_1) / 4 => Row_1`
`1` `1/4` `1/2`
`8` `-2` `-4`

`(Row_1) * 8 - (Row_2) => (Row_2)`
`1` `1/4` `1/2`
`0` `4` `8`

`( Row_2) / 4 => Row_2`
`1` `1/4` `1/2`
`0` `1` `2`

`y = 2`
Substitute in to either equation to find that `x = 0`.

NOTE: This application could really use some matrix formatting.