if 4 times a number is decreased by 9, the result is the same as when 1 is subtracted from 3 times the number.
The number = X.
4X - 9 = 3X - 1,
4X - 3X = -1 + 9,
X = 8.
Let's assume the number as 'x'.
According to the given information, we can now form the equation:
4x - 9 = 3x - 1
To solve this equation, we can start by isolating the variable term, which in this case is 'x'.
Subtracting 3x from both sides:
4x - 3x - 9 = 3x - 3x - 1
This simplifies to:
x - 9 = -1
Next, we can isolate 'x' by adding 9 to both sides:
x - 9 + 9 = -1 + 9
This simplifies to:
x = 8
So, the number 'x' is equal to 8.
Let's represent the unknown number as "x".
According to the given information:
4 times a number (4x) is decreased by 9, which can be written as 4x - 9.
The result is the same as when 1 is subtracted from 3 times the number (3x - 1).
So, we have the equation: 4x - 9 = 3x - 1.
To find the value of "x" which satisfies this equation, we can solve it step by step:
Step 1: Move all the terms containing "x" to one side of the equation:
4x - 3x = -1 + 9
x = 8
Therefore, the number "x" is 8.