Question

How do you determine the solution in terms of a system of linear equations for 2x-y=3 and 3x+y=2?

Answer 1

`(x,y) = (1,-1)`

Explanation:

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

Adding [1] and [2]
[3]`color(white)("XXX") 5x =5`

Dividing [3] by `5`
[4]`color(white)("XXX")x=1`

Substituting `1` for `x` in [2]
[5]`color(white)("XXX")3 * (1) + y = 2`

Simplifying
[6]`color(white)("XXX")y=-1`