Question

How do you solve `x+2y=5` and `2x-2y=4`?

Answer 1

The solution for the system of equations is
`color(blue)(x=3,y=1`

Explanation:

`x+color(blue)(2y)=5` .....equation `(1)`
`2x−color(blue)(2y)=4`....equation `(2)`

We can solve the equations through elimination
Adding the two equations results in elimination of `color(blue)(2y`

`x+cancelcolor(blue)(2y)=5`
`2x−cancelcolor(blue)(2y)=4`

`3x=9`
`color(blue)(x=3`

Substituting `x` in equation `1` to find `y`
`x+2y=5`
`2y=5-x`
`2y=5-3`
`color(blue)(y=1`