[tex]3x - y = - 1 \\ 3x + 3y = 27[/tex]
First, we need to cancel out one variable. Let's multiply the first equation by -1.
[tex] - 3x + y = 1 \\ 3x + 3y = 27[/tex]
Now, we can add the two equations together.
[tex]0x + 4y = 28[/tex]
Then we divide by 4 on either side.
[tex]4y = 28 \\ y = 7[/tex]
Now we have y. Now we solve for x by plugging into one of the equations. Let's pick the first equation.
[tex]3x - y = - 1 \\ 3x - (7) = - 1[/tex]
Now we add 7 to both sides and simplify by dividing by 3.
[tex]3x = 6 \\ x = 2[/tex]
Now we have x = 2.
In an ordered pair: (x,y)
We have: (2,7)
