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TaeIdiotgo
Answered

when 8 is added to a number, the result is the same as 2 subtracted from thrice the number. find the number​

Sagot :

MariHani99go

Answer:

The number is: -1.5

Step-by-step explanation:

Let x be the number.

[tex]8 + x = 2 - 3x \\ 3x + x = 2 - 8 \\ 4x = - 6 \\ \frac{4x}{4} = \frac{ - 6}{4} \\ x = - \frac{3}{2} \: or \: - 1.5[/tex]

Check:

[tex]8 + ( - 1.5) = 2 - 3( - 1.5) \\ 6.5 = 2 + 4.5 \\ 6.5 = 6.5[/tex]

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QUESTION:

When 8 is added to a number, the result is the same as 2 subtracted from thrice the number. Find the nnumber.

  • 8 + x = 3x - 2

  • 8 + 2 = 3x - x

  • 10 = 2x

  • 10/2 = 2x/2

  • x = 5

The number is 5.

Let's check:

Eight added to a number:

  • 8 + 5 = 13 ✔︎

2 subtracted from thrice the number:

  • 5(3) - 2
  • 15 - 2 = 13 ✔︎

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