tfrancis31 tfrancis31
  • 08-06-2022
  • Mathematics
contestada

solve the following absolute value equation.

−8 − 2 |5X – 17| = −14

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LammettHash
LammettHash LammettHash
  • 08-06-2022

If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to

-8 - 2 (5x - 17) = -14

-8 - 10x + 34 = -14

-10x = -40

x = 4

If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have

-8 - 2 (-5x + 17) = -14

-8 + 10x - 34 = -14

10x = 28

x = 2.8

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