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The sum of two integers is -14. If one o...

The sum of two integers is `-14`. If one of them is 11, then find the other.

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To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the problem We know that the sum of two integers is -14, and one of the integers is given as 11. We need to find the other integer. **Hint:** Identify what is given and what needs to be found. ### Step 2: Set up the equation Let’s denote the two integers as \( x \) and \( y \). According to the problem, we can write the equation: \[ x + y = -14 \] Since we know that one of the integers (let's say \( x \)) is 11, we can substitute this value into the equation: \[ 11 + y = -14 \] **Hint:** Substitute the known value into the equation. ### Step 3: Solve for the unknown integer Now, we need to isolate \( y \) in the equation: \[ y = -14 - 11 \] **Hint:** To isolate the variable, perform the necessary arithmetic operation. ### Step 4: Perform the calculation Now, calculate the right side: \[ y = -14 - 11 = -25 \] **Hint:** Remember that subtracting a positive number from a negative number results in a more negative number. ### Step 5: State the result Thus, the other integer \( y \) is: \[ y = -25 \] **Hint:** Clearly state the final answer. ### Final Answer: The other integer is \(-25\).
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Knowledge Check

  • The sum of two integers is 116. If one of them is -79, find the other integers.

    A
    195
    B
    185
    C
    47
    D
    `-195`
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