Middle School

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Nineteen less than nine times a number is equal to eleven more than seven times the number.

Write an equation to represent this situation.

Answer :

Answer:

n=10

Step-by-step explanation:

9n-19 = 11+7n

-7n -7n

3n -19 = 11

+19 +19

3n = 30

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3 3

n=10

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Rewritten by : Barada

To solve the problem, an equation 9x - 19 = 7x + 11 was set up, simplified, and solved step-by-step, leading to the finding that the number in question is 15.

The question asks to solve for a number where nineteen less than nine times this number is equal to eleven more than seven times the number. We can set up an equation to represent this situation: 9x - 19 = 7x + 11, where x is the number we're trying to find.

First, we'll simplify the equation by moving all terms involving x to one side and the constants to the other:

Subtract 7x from both sides: 9x - 7x - 19 = 11, which simplifies to 2x - 19 = 11.

Add 19 to both sides: 2x = 30.

Divide both sides by 2 to get x: x = 15.

Therefore, the number we're looking for is 15.

--The complete question is

"Nineteen less than nine times a number is equal to 11 more than seven times the number. find the number. "--