sajdshjad7566 sajdshjad7566
  • 15-09-2020
  • Mathematics
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The difference of a number and 9 is the same as the sum of 3 times the number and 12

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MrRoyal
MrRoyal MrRoyal
  • 20-09-2020

Answer:

[tex]x = -10.5[/tex]

Step-by-step explanation:

Represent the number as x

Difference of the number and x:

[tex]x - 9[/tex] --- (1)

Sum of 3 times the number and 12:

[tex]3 * x + 12\\[/tex] ---- (2)

Equate 1 and 2

[tex]x - 9 = 3 * x + 12[/tex]

[tex]x - 9 = 3x + 12[/tex]

Collect Like Terms

[tex]x - 3x = 9 + 12[/tex]

[tex]-2x = 21[/tex]

Make x the subject

[tex]x = -\frac{21}{2}[/tex]

[tex]x = -10.5[/tex]

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