a certain number when is multipliedby 5 and subtract 4 the result is the same as multiplying that number by 2 and subtract 1. find that number

student

5 n - 4 = 2 n - 1

3 n = 3
n = 1

To find the number, let's create an equation based on the given information.

Let's assume the unknown number is "x."

The problem states that when this number is multiplied by 5 and then subtracted by 4, the result is the same as multiplying the number by 2 and then subtracting 1.

Mathematically, we can represent this as:

5x - 4 = 2x - 1

Now, we can solve this equation to find the value of x:

5x - 4 = 2x - 1

To isolate the variable x, we can start by getting rid of the 2x on the right side of the equation. We can do this by subtracting 2x from both sides:

5x - 2x - 4 = 2x - 2x - 1

This simplifies to:

3x - 4 = -1

Next, let's isolate the x term on one side by adding 4 to both sides:

3x - 4 + 4 = -1 + 4

Simplifying, we have:

3x = 3

Finally, to solve for x, we divide both sides by 3:

(3x)/3 = 3/3

x = 1

Therefore, the value of the unknown number is x = 1.