x+y=1
6x-2y=-26
Let’s solve this by elimination.
Multiply -6 to equation 1
-6(x+y)=-6(1)
This gives us
-6x-6y=-6
Now add this to equation 2 to eliminate the x variable.. doing so we have
-6x-6y=-6
+6x-2y=-26
Adding these two we have
-8y=-32
To solve for y, divide both sides by -8
This gives us y=4
Now plugging in y=4 into equation 1 for y we get
x+4=1
Subtract 4 to both sides to solve for x. Doing so we have
x=-3
So x=-3 and y=4
This gives us the ordered pair (-3,4). So our final answer as an ordered pair is (-3,4). Hope this helps!!!!