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Elise says,” if you subtract 19 from my number and multiply the difference by -6, the result is -30.” What is Elise’s number?

Respuesta :

OmegaAzzy

Elise's number is equal to 24.

-6(x - 19) = -30

Distributive property.

-6x + 114 = -30

Add 6x to both sides

114 = -30 + 6x

Add 30 to both sides

144 = 6x

Divide both sides by 6

x = 24

fichoh

The value of Elise number obtained by setting up a mathematical equation using the problem given is 24

Let :

  • Elise number = n

  • 19 subtracted from Elise number ; (n - 19)

  • Multiplying the difference by - 7 ; - 6(n - 19)

Hence, we have the equation ;

-6(n - 19) = - 30

Solving for n

-6n + 114 = - 30

-6n = - 30 - 114

-6n = - 144

n = 144 / 6

n = 24

Therefore, Elise number is 24

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