One solution
4x + 2 = 6x - 4 subtract 4x form both sides.......add 4 to both sides
6 = 2x divide both sides by 2
3 = x
Infinite solutions......the equations are exactly the same
6x - 8 = 6x - 8 subtract 6x from both sides....add 8 to both sides
0 = 0 this will always happen in equations with infinite solutions
No solutions......these are easy to spot.......we are adding/subtracting different quantities to like quantities
7x + 8 = 7x - 9
Note that this is impossible......we can't add 8 to one thing and have it equal the same thing less 9
Doing the math.........subtract 7x from both sides
8 = -9
This will always happen when we have no solutions......we will end up with a false statement
Hope this helped.....!!!
