Answer:
4(x - 1) = 4x - 4
3x + 6 = 3(x + 2)
Step-by-step explanation:
The first equation is
[tex]5x - 1 = 5x + 1[/tex]
We simplify to get;
[tex] - 1 = 1[/tex]
This is not true, therefore this equation has no solution.
The second equation is
[tex]3x - 1 = 1 - 3x[/tex]
Combine like terms:
[tex]3x + 3x = 1 + 1[/tex]
[tex]6x = 2[/tex]
[tex]x = \frac{1}{3} [/tex]
This has a unique solution.
The 3rd equation is
[tex]7x - 2 = 2x - 7[/tex]
Group similar terms:
[tex]7x - 2x = 7 + 2 \\ 5x = 9 \\ x = \frac{9}{5} [/tex]
The 4th equation is :
[tex]4(x - 1) = 4x - 4[/tex]
[tex]4x - 4= 4x - 4 \\ x = x[/tex]
This is always true. The equation has infinite solution.
The 5th equation is:
[tex]3x + 6 = 3(x + 2) \\ 3x + 6 = 3x + 6 \\ x = x[/tex]
This also has infinite solution
The 6th equation is
[tex]3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x = - 12 + 12 \\ x = 0[/tex]
It has a unique solution.
