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grandymaker [24]
3 years ago
6

Hector is solving an equation with variables on both sides, and his work is shown below. Explain Hector mistake in his work, and

find the correct solution to the equation
-124 + 4 7/8x = -10 - 1/8x

-124 + 4. 6/8x = -9

4. 6/8x = 115

x = 24.22...



Please answer will give brainliest and all my points are given
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

Answer:

  • x = 22.8

Step-by-step explanation:

<u>Solution of the given equation</u>

  • -124 + 4 7/8x = -10 - 1/8x
  • 4 7/8x + 1/8x = -10 + 124          ⇒ added 1/8x + 124 to both sides
  • 5x = 114
  • x = 114/5
  • x = 22.8

<u>Hector's mistakes</u>

  • 4 7/8x on left hand side becomes 4 6/8x as 1/8x was subtracted
  • -10 becomes -9 on right hand side for no reason
quester [9]3 years ago
4 0

Answer:

x = 22.8

Hectors mistakes was subtracting 1/8x to both sides. Not sure how he got -9 but that was also another mistake.

Step-by-step explanation:

-124 + 4 7/8x = -10 - 1/8x

~Add 124 to both sides

4 7/8x = 114 - 1/8x

~Add 1/8x to both sides

5x = 114

~Divide 5 to both sides

x = 22.8

Best of Luck!

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