Question

How do you solve `x + y = 14` and `-x + y = 16`?

Answer 1

The solution for the system of equations is
`color(blue)(x=-1,y=15`

Explanation:

`color(blue)(x)+y=14`.......equation `(1)`
`color(blue)(−x)+y=16`...equation `(2)`

Upon adding the equations `color(blue)(x` gets eliminated
`cancelcolor(blue)(x)+y=14`
`cancelcolor(blue)(−x)+y=16`

`2y=30`
`color(blue)(y=15`

Substituting the value of `y` in equation `(1)` to find `x`
`x+y=14`

`x=14-15`
`color(blue)(x=-1`