Now, to get the y part...

Take D again...

| top row: 3 , -1  bottom row: -5 , 4 |

and delete the column for the y guys...

| top row: 3 , _  bottom row: -5 , _ | ... column 1 are the x guys and column 2 are the y guys

Replace that column with the "= guys":

Dy = | top row: 3 , 7  bottom row: -5 , -2 | = ( 3 ) ( -2 ) - ( -5 ) ( 7 ) = 29

So, our y part is

y = ( Dy / D ) = ( 29 / 7 )

 

and our final answer is ( 26 / 7 , 29 / 7 ) .  That's it!

 


YOUR TURN:

Use Cramer's Rule to solve

-6x + 8y = 17

13x - 2y = -4