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:

$(x, y) :( 3,3)$