Question

How do you determine the solution in terms of a system of linear equations for `-2x + 3y = 14`, `x - 4y = 11`?

Answer 1

`(x,y) = (-17.8,-7.2)`

Explanation:

[1]`color(white)("XXX")-2x+3y=14`
[2]`color(white)("XXX")x-4y=11`

Multiply [2] by `2`
[3]`color(white)("XXX")2x-8y=22`

Add [1] and [3]
[4]`color(white)("XXX")-5y=36`

Divide [4] by `(-5)`
[6]`color(white)("XXX")y = -36/5=-7.2`

Substituting `(7.2)` for `y` in [1]
[7]`color(white)("XXX")-2x+3(-7.2)=14`

[8]`color(white)("XXX")-2x-21.6=14`

[9]`color(white)("XXX")-2x=35.6`

[10]`color(white)("XXX")x = -17.8`