For you to graph each system, you need to always get y by itself. If there is 2y , then divide both sides by 2 , etc.
For x+y=6
, you would subtract x
so that it equals:
y=−x+6
For the other one: x−y=4 add y to both sides and then subtract 4 to get: x−4=y. which is also: y=x−4
To determine the possible solutions, I am uncertain if you mean where they intersect or possible solutions for x and y for each equation individually.
If you need to calculate the point of intersection, set them equal to each other:
y=y , therefore: x−4=−x+6 ,
2x=10
x=5
y=1
Or you can draw the graphs by plotting points and find where the lines intersect
