Answer:
a) 1 solution
b) infinite solutions
c) 1 solution
Step-by-step explanation:
If you were to solve each of the problems:
- "x = 10" would mean that there is only one solution: 10
- "2 = 3" would mean that there are no solutions. These are not equal so the equation cannot be true regardless of the value of x.
- "5 = 5" would mean that there are infinite solutions. The equation is true no matter what the value of x is.
a)
[tex]2x+6=7x+5\\2x-7x=5-6\\-5x=-1\\5x=1\\x=\frac{1}{5}[/tex]
This equation only has one solution: 1/5.
b)
[tex]6v+8=8+6v\\6v-6v=8-8\\0=0[/tex]
This equation has infinite solutions.
c)
[tex]10-e=e-10\\10+10=e+e\\20=2e\\e=10[/tex]
This equation also only has 1 solution: 10.
