Answer:
[tex](3,-1)[/tex]
Step-by-step explanation:
[tex]y=-x+2\\x-3y=6[/tex]
We are given the y is equal to -x+2 so we fill in the value of y into the second equation to find x
[tex]x-3(-x+2)=6[/tex]
Distribute
[tex]x+3x-6=6[/tex]
Combine like terms
[tex]4x-6=6[/tex]
Add 6 to both sides
[tex]4x=12[/tex]
Divide 4 on both sides
[tex]x=3[/tex]
Now that we know the value of x we fill in the value of x into either equation to find y
[tex]y=-3+2\\y=-1[/tex]
So since x is 3 and y is -1 we can write it as an ordered pair (3,-1)
