Math, asked by Meep, 1 year ago

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)

Meep: I think a and d But im not sure im correct

Answers

Answered by TPS

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

Meep: 4x - 16 - 2x = 2(x-8)

Meep: 6x - 15 = 3(2x - 6)

Meep: 5x - 3(x - 4) = 2(x -6)

TPS: 5x - 20 = 2(3x -10) has unique solution. x = 0

Meep: so its C

TPS: 4x - 16 - 2x = 2(x-8 : infinite solution

TPS: 6x - 15 = 3(2x - 6) : no solution

TPS: 5x - 3(x - 4) = 2(x -6) : infinite solutions

Meep: So the answers for these are 1. C 2. A 3. B 4. A

Meep: Thank you!

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