I have no clue how to do this. I have to write it out than solve.
Nineteen less than nine times a number is equal to 11 more than seven times the number.
i know so far is 9-9*n=11+7?
direct translation of ...
"Nineteen less than nine times a number is equal to 11 more than seven times the number."
9n - 19 = 7n + 11
To solve this equation step-by-step, let's break it down:
1. Let's start by defining the unknown number. Let's call the number "x".
2. According to the problem, "Nineteen less than nine times a number," which can be written as "9x - 19."
3. "Is equal to 11 more than seven times the number" can be written as "7x + 11."
With this information, we can write the equation:
9x - 19 = 7x + 11
Now, let's solve the equation step-by-step:
4. Start by isolating x terms on one side and constant terms on the other side. To do this, subtract 7x from both sides:
9x - 7x - 19 = 7x - 7x + 11
Simplifying the equation:
2x - 19 = 11
5. Next, isolate the constant term by adding 19 to both sides:
2x - 19 + 19 = 11 + 19
Simplifying the equation:
2x = 30
6. Finally, solve for x by dividing both sides by 2:
2x/2 = 30/2
Simplifying the equation:
x = 15
Therefore, the unknown number is 15.
To solve this problem, let's break it down step by step.
The first step is to define a variable for the unknown number. Let's call this number "x".
The problem states that nineteen less than nine times a number is equal to eleven more than seven times the number. In equation form, this can be written as:
9x - 19 = 7x + 11
Now we can solve this equation to find the value of x.
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by performing operations that affect both sides of the equation equally.
First, let's get rid of the constant terms (-19 and +11) by adding 19 to both sides:
9x - 19 + 19 = 7x + 11 + 19
9x = 7x + 30
Next, let's get rid of the 7x term by subtracting 7x from both sides:
9x - 7x = 7x - 7x + 30
2x = 30
Now, to solve for x, we divide both sides of the equation by 2:
2x / 2 = 30 / 2
x = 15
Therefore, the unknown number is 15.
Remember, when solving word problems algebraically, it's important to set up the equation correctly and perform the same operations on both sides of the equation to isolate the variable and find the solution.