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139 LearnersLast updated on October 28, 2025
The Quotient of a Number and -9 Increased by 10 is 11
When we divide one number by another, the result is called the quotient. Solving equations involving quotients requires understanding mathematical operations and relationships. Below, we will explore the scenario where the quotient of a number and -9 is increased by 10 to equal 11.
Solving the Equation: The Quotient of a Number and -9 Increased by 10 is 11
To solve the equation where the quotient of a number and -9, increased by 10, equals 11, follow these steps:
Step 1: Set up the equation based on the problem statement: (x / -9) + 10 = 11.
Step 2: Isolate the quotient by subtracting 10 from both sides of the equation: (x / -9) = 11 - 10.
Step 3: Simplify the right side: (x / -9) = 1.
Step 4: Solve for x by multiplying both sides by -9: x = 1 × -9.
Step 5: Simplify to find the value of x: x = -9.
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Key Terms in Solving the Equation
- Quotient: The result of dividing one number by another.
- Equation: A mathematical statement that asserts the equality of two expressions.
- Isolate: The process of manipulating an equation to get a variable by itself on one side.
- Simplify: To combine and reduce expressions to their simplest form.
- Solve: The process of finding the value of the variable that makes the equation true.
Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
