Respuesta :

Padoru

We can solve or simplify the equation to find if an equation has one solution, no solutions, or infinitely many solutions.

[tex]3(x-2) = 3x-2[/tex]

Use the distributive property on the left side of the equation

[tex]3x-6=3x-2[/tex]

Subtract both sides by 3x

[tex]3x-3x-6=3x-3x-2[/tex]

[tex]-6=-2[/tex]

Realize how weird our final output is? -6 does NOT equal -2. Since there's no way we could've solved for x and the final output isn't true, this equation has no solutions.

This means that the graph of lines are parallel in the coordinate plane and never intersect.

Let me know if you need any clarifications, thanks!

~ Padoru

marcthemathtutor

Answer:

no solution

Step-by-step explanation:

3(x-2) = 3x-2  

x(3) -2(3) = 3x-2

3x -6 = 3x - 2  (subtract 3x from both sides)

-6 = -2

it is obvious that this is a false statement  (-6 is obviously not equal to -2)

hence this equation has no solution.

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