Define a variable, write an equation, and solve for the number.

Nine fewer than half a number is five more than four times the number.

n = the number
2 1 ​ n − 9 = 4 n + 5 ( 2 1 ​ n − 2 1 ​ n ) − 9 = ( 4 n − 2 1 ​ n ) + 5 − 9 = 3.5 n + 5 ( − 9 − 5 ) = 3.5 n + ( 5 − 5 ) − 14 = 3.5 n 3.5 − 14 ​ = 3.5 3.5 n ​ − 4 = n
The number is -4

Answered by Anonymous | 2024-06-10

To solve the equation, 'Nine fewer than half a number is five more than four times the number,' we can define the number as x and write the equation as (1/2)x - 9 = 4x + 5. By simplifying and isolating the variable, we find that the number is -4. ;

Answered by BillPaxton | 2024-06-18

The number defined as x solves the equation to be x = − 4 . This was derived from the statement 'Nine fewer than half a number is five more than four times the number.' By manipulating the equation step by step, we found the value of the number to be -4.
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Answered by BillPaxton | 2024-09-26