We can do this two ways. For now, we can just do it the easiest way.
Since they are giving us coordinates, let’s just plug them in and see if they work.
-3(2)+5(4)=2(2)+3(4)
-6+20=4+12
14=16
So, (2,4) is not an answer. Let’s test 3,3.
-3(3)+5(3)=2(3)+3(3)
-9+15=6+9
6=15
It’s neither.
Now, we can see the other way.
-3x+5y=2x+3y
Let’s move the y to one side and the x to the other. Let’s subtract 3y from both sides.
-3x+2y=2x
Now add 3x.
2y=5x
We could’ve plugged in the x and y values with this as well.
But the answer would be neither.
