Question

Which ordered pair (x, y) is a solution to the given system of linear equations? 3x+3y=-3

-2x+y=2

Answer 1

I believe the ordered pair would be (-1,0). Hope this helps!

Answer 2

(-1,0)

Explanation:

The given system of equations is

`3x+3y=-3........(1)\\\\-2x+y=2.......(2)`

We can find the ordered pair by solving the two equations for x and y. For this we can use the elimination method.

Multiply equation (2) by -3 and add with equation (1)

`3x+3y+6x-3y=-3-6\\\\9x=-9\\\\x=-1`

Substituting the value of x in equation (1), we get

`3x+3y=-3\\\\3(-1)+3y=-3\\\\-3y=0\\\\y=0`

Thus, the solution of the system of equations is (-1,0)