If we subtract one row from the other row, we don't eliminate anything. However, if we multiply one of the rows, we can eliminate one of the variables by adding the rows.

Row [1] `× 2` gives us

6

x+ 2y= 20 [3]

x− 2y= 1 [2] (no change)

If we add lines [3] and [2], we eliminate *y*.

`7x = 21`

So ` x = 3` and using line [1], `y = 1`.

Check in line [2]: `3 − 2(1) = 1`** [OK]**

So our solution is `(3, 1)`.