20 points..Please Help!! What does it mean for an equation to have no solution or infinite solutions? Identify the equation with one solution, infinite solutions and no solutions: (you don’t need to come up with an exact answer:• 6y+2=3y+4 4x + 4y + 8 = x + y + 2 5x – 3 = 5x - 2
Accepted Solution
A:
Hello!
If a problem has infinite solutions you will end with a 0, with one it will end with any number and for no solutions you will get a equations that does not equal each other
Ex: 5 = 9
You can do the bottom first since it looks the easiest.
5x - 3 = 5x - 2
subtract 5x from both sides
0x -3 = -2
Add 3 to both sides
0x = 1
0x [tex] \neq 1[/tex]
So it has no solutions
Next you can do the top one
6y + 2 = 3y + 4
subtract 3y from both sides
3y + 2 = 4
Subtract 2 from both sides
3y = 2
Divide both sides by 3
y = [tex] \frac{2}{3} [/tex]
Since this came to a regular number it has one solution
The only one left has the be the one with infinite solutions by we can check
4x + 4y + 8 = x + y + 2
since the left side is the same as the right just multiplied by 4 it has infinite solutions