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Find the solution set of 16x +24 = 7x + 60 Consider the replacement set {-2, 4, 9}, whose values or elements are arbitrarily given.
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ALICESMITHIN

PROBLEM:

Find the solution set of 16x +24 = 7x + 60 Consider the replacement set {-2, 4, 9}, whose values or elements are arbitrarily given.

SOLUTION:

If x = -2, then

  • 16x +24 = 7x + 60
  • 16(-2) +24 = 7(-2) + 60
  • -32 + 24 = -14 + 60
  • -8 = 46 ✖

if x = 4.

  • 16x +24 = 7x + 60
  • 16(4) +24 = 7(4) + 60
  • 64 + 24 = 28 + 60
  • 88 = 88 ✔

if x = 9.

  • 16x +24 = 7x + 60
  • 16(9) +24 = 7(9) + 60
  • 144 + 24 = 63 + 60
  • 168 = 123 ✖

ANSWER:

  • Therefore the solution of set is 4.

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