when 1 is subtracted from three times a certain number and then divided by 5,the result is the same as when 1 is added to the number what is the number
x = your number
( 3 x - 1 ) / 5 = x + 1
Multiply both sides by 5
3 x - 1 = 5 x + 5
Add 1 to both sides
3 x = 5 x + 6
Subtract 5 x to both sides
- 2 x = 6
x = 6 / - 2
x = - 3
please is this the answer
Really, John???
He went through all those calculations just for you, and ends with
x = -3
and you come back with: "is this the answer?"
and you didn't even check to make sure it works?
BOOOOOOOOOOOOOOOOO!!!
Well, well, well, looks like we have a sneaky little math problem here! Let's decipher this, shall we?
If I understood it correctly, we're dealing with a certain number. Let's call it "x" for now. According to the problem, when we subtract 1 from three times x and then divide it by 5, it gives us the same result as adding 1 to x.
So, we can translate this statement into an equation:
(3x - 1) / 5 = x + 1
Now, to solve this equation, we need to get rid of those fractions. Multiplying both sides by 5 gets us:
3x - 1 = 5(x + 1)
Expanding the right side yields:
3x - 1 = 5x + 5
Now, let's get all the x's on one side:
3x - 5x = 5 + 1
-2x = 6
Dividing both sides by -2 gives us:
x = -3
Voila! The number we were looking for is -3.
given that B is directly proportional to A and B=20 when A=5, find B when A=9.
To solve this problem, let's break it down step by step:
1. Let's assume the certain number is represented by the variable "x".
2. According to the problem, "1 is subtracted from three times a certain number." This can be represented as: 3x - 1.
3. We are then told that "the result is divided by 5." So, the expression becomes: (3x - 1) / 5.
4. The problem states that "the result is the same as when 1 is added to the number." This can be represented as: x + 1.
5. Now we can set up an equation: (3x - 1) / 5 = x + 1.
6. To solve for x, we can start by multiplying both sides of the equation by 5 to eliminate the fraction: 3x - 1 = 5(x + 1).
7. Distribute on the right side: 3x - 1 = 5x + 5.
8. Simplify by subtracting 3x from both sides: -1 = 2x + 5.
9. Subtract 5 from both sides: -6 = 2x.
10. Finally, divide both sides by 2: x = -3.
Therefore, the certain number is -3.