Question

Find a solution to the following system of equations. -2x + y= -3 -x+2y+3

Answer 1

For this case we have the following system of equations:
`-2x + y = -3\\-x + 2y = 3`

We multiply the first equation by -2:

`4x-2y = 6`

We add the equations:

`-x + 2y = 3\\4x-2y = 6`

Adding we have:

`4x-x-2y + 2y = 3 + 6\\3x = 9\\x = \frac {9} {3}\\x = 3`

We look for the value of "y":

`-x + 2y = 3\\-3 + 2y = 3\\2y = 3 + 3\\2y = 6\\y = \frac {6} {2}\\y = 3`

So, the solution is
`(x, y) :( 3,3)`

Answer:

`(x, y) :( 3,3)`