3 answers
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if 11 is added to a number the result is 7 less than 3 times the number
![Haha](/images/users/0/1/128x128.jpeg)
2 years ago
![PsyDAG](/images/users/0/1/128x128.jpeg)
2 years ago
n +11 = 3n - 7
Subtract n and add 7 to both sides to solve for n.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To solve this problem, let's denote the unknown number as "x".
The problem states that "if 11 is added to a number," which can be translated as "x + 11."
The next part of the problem states that "the result is 7 less than 3 times the number," which can be translated as "3x - 7."
So, putting it all together, we have the equation:
x + 11 = 3x - 7
To solve for x, we can start by isolating the x term on one side of the equation. We can do this by subtracting x from both sides:
x + 11 - x = 3x - 7 - x
11 = 2x - 7
Next, we can isolate the constant term on one side of the equation by adding 7 to both sides:
11 + 7 = 2x - 7 + 7
18 = 2x
To solve for x, we divide both sides of the equation by 2:
18/2 = 2x/2
9 = x
Therefore, the unknown number is 9.