Answer :
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. "--
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
