Math  /  Algebra

QuestionThe sum of 5.75 and half a number is -5 . What is the number? Enter your answer as a decimal in the box. n=n=

Studdy Solution

STEP 1

1. The sum of 5.75 and half a number is given as -5.
2. We need to find the value of the number.
3. The number is represented by the variable n n .

STEP 2

1. Define the variable.
2. Write an equation based on the problem statement.
3. Solve the equation for the variable.
4. Provide the solution.

STEP 3

Define the variable. Let n n be the number we need to find.

STEP 4

Write an equation based on the problem statement. The problem states that the sum of 5.75 and half of n n is -5. This can be written as:
5.75+n2=5 5.75 + \frac{n}{2} = -5

STEP 5

Solve the equation for n n .
First, isolate the term with n n by subtracting 5.75 from both sides:
n2=55.75 \frac{n}{2} = -5 - 5.75
Simplify the right side:
n2=10.75 \frac{n}{2} = -10.75

STEP 6

To solve for n n , multiply both sides by 2:
n=2×(10.75) n = 2 \times (-10.75)
n=21.5 n = -21.5

STEP 7

The solution for the number is:
n=21.5 n = -21.5

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