mtrustiques1
Answered

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Which equation has infinitely many solutions?

A. -5(x + 2) = -4x − 12 − x + 2


B. 3x − 4 + 2x = 5(x − 4)


C. 5(x + 7) = -5(x − 7)


D. 6x + 2 − x = -2x − 2 + 7x

Sagot :

sqdancefan

9514 1404 393

Answer:

  A

Step-by-step explanation:

We can eliminate parentheses, collect terms, and subtract the right-side expression from both sides to put these equations in general form. Then it is very easy to tell how many solutions there are .

A. -5x -10 = -5x -10

  0 = 0 . . . . . true for all values of x; infinite solutions

B. 5x -4 = 5x -20

  16 = 0 . . . . . not true for any value of x; no solutions

C. 5x +35 = -5x +35

  10x = 0 . . . . . true for x=0; one solution

D. 5x +2 = 5x -2

  4 = 0 . . . . . not true for any value of x; no solutions

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