Answer:
No solution: [tex]3x+9+4x+x=8x+1[/tex]
One solution: [tex]3x+9+4x+x=2x+3[/tex]
Infinitely many solution: [tex]3x+9+4x+x=8x+9[/tex]
Step-by-step explanation:
The given equation is
[tex]3x+9+4x+x=___[/tex]
It can be written as
[tex]8x+9=___[/tex]
Here slope is 8 and y-intercept is 9.
No solution: For all values of x, LHS≠RHS. It means the lines have same slope but different y-intercept.
[tex]3x+9+4x+x=8x+1[/tex]
One solution: For unique value of x, LHS=RHS. It means the lines have different slopes.
[tex]3x+9+4x+x=2x+3[/tex]
Infinitely many solution: For all values of x, LHS=RHS. It means the lines have same slope and y-intercept.
[tex]3x+9+4x+x=8x+9[/tex]
Note: There are more possible equations for no solutions and one solution.
Answer:
No Solutions
3x+9+4x+x= 8x + 8
One Solution
3x+9+4x+x= 4x + 1
Infinitely Many Solutions
3x+9+4x+x= 8x + 9
Step-by-step explanation:
