Question

Elise ​says, "If you subtract 12 from my number and multiply the difference by negative -7​, the result is negative -196​." What is Elise​'s ​number?

Answer 1

Elise's number is 40

Step-by-step explanation:

Let the number be x.

Then

"If you subtract 12 from my number"

$x-12$

And

"multiply the difference by negative -7​"

$-7(x-12)$

"the result is negative -196​."

$-7(x-12)=-196\\-7x+84=-196\\Subtracting\ 84\ from\ both\ sides\\-7x+84-84=-196-84\\-7x=-280\\Dividing\ both\ sides\ by\ -7\\\frac{-7x}{-7} = \frac{-280}{-7}\\x=40$

Hence,

Elise's number is 40

Keywords: Linear Equation, Variable

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