Respuesta :
The algebraic expression for given statement is:
[tex]\frac{x}{-3} -8 = -15[/tex]
The number is found to be 21
Solution:
Given statement is:
The quotient of a number and -3 decreased by 8 is -15
Let us convert the statement into algebraic expression
Let "x" be the number
Then from given statement,
quotient of a number and -3 decreased by 8 is -15
Here, "quotient" means division. Therefore, a number divided by -3
"quotient of a number and -3" is translated as [tex]\frac{x}{-3}[/tex]
While the decrease by 8 would be represented by subtracting 8 from that quotient
We are also told that the resulting equation is equal to -15
Thus, the final equation becomes:
[tex]\frac{x}{-3} -8 = -15[/tex]
Let us simplify the above for "x"
[tex]\frac{-x}{3} = -15 + 8\\\\\frac{-x}{3} = -7\\\\-x = -21\\\\x = 21[/tex]
Thus the number is 21
