Answered

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x + 1/2 (x – 4) = 1/2 x + 6 (x – 2)
how many solutions does the equation have?

Sagot :

sqdancefan

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

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Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

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