Answered

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Fifteen more than half a number is 9

Sagot :

luana
[tex]x-\ number\\\\ \frac{1}{2}x+15=9\ \ \ \ | subtract\ 15\\\\ \frac{1}{2}x=-6\ \ \ | multiply\ by\ 2\\\\ x=-12\\\\Number\ is\ -12.[/tex]
carlosego

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the equation that models the problem:

[tex] (\frac{1}{2}) x + 15 = 9
[/tex]

From here, we clear the value of x.

We multiply both sides of the equation by 2:

[tex] (\frac{2}{2}) x + 2 (15) = 2 (9)

x + 30 = 18
[/tex]

We subtract 30 on both sides of the equation:

[tex] x + 30 - 30 = 18 - 30

x = -12
[/tex]

Answer:

The value of the unknown number is given by:

[tex] x = -12 [/tex]

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