# Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answers that are correct. A. 2(4x + 7) B. 9x – 10 C. 16x – 4 D. 4(4x – 1)

1
by Meep
I think a and d But im not sure im correct

2014-10-01T22:44:04+05:30

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For infinitely many solutions to a equation in one variable, it should finally give a universal statement like "8 = 8".

8 + 2×(8x -6) = 16x -4

A. 8x +14 = 16x - 4
⇒x = 9/4 (one solution)
B. 9x -10 = 16x -4
⇒ x = -6/7 (one solution)
C. 16x -4 = 16x -4
⇒ 0 = 0 (universally true, so infinite solutions)
D. 4(4x-1) = 16x -4
⇒ 0 = 0 (universally true, so infinite solutions)

So answers are C and D
4x - 16 - 2x = 2(x-8 : infinite solution
6x - 15 = 3(2x - 6) : no solution
5x - 3(x - 4) = 2(x -6) : infinite solutions
So the answers for these are 1. C 2. A 3. B 4. A
Thank you!