put two step equation in a algorithm form

Answer 1

Creating an algorithm to solve a two-step equation involves outlining a series of logical steps to isolate the variable. Here’s a simple algorithm to solve a two-step equation of the form:

\[ ax + b = c \]

where \( a \), \( b \), and \( c \) are constants, and \( x \) is the variable to solve for.

Algorithm to Solve a Two-Step Equation

Input: Coefficients \( a \), \( b \), and constant \( c \) from equation \( ax + b = c \).

Output: Value of \( x \).

Steps:

1. Start
2. Input the constants \( a \), \( b \), and \( c \).
3. Subtract \( b \) from both sides of the equation: \[ ax + b - b = c - b \quad \text{(results in } ax = c - b\text{)} \]
4. Calculate \( d = c - b \).
5. Divide both sides by \( a \): \[ x = \frac{d}{a} \quad \text{(results in } x = \frac{c - b}{a}\text{)} \]
6. Output the value of \( x \).
7. End

Example

Let's say you want to solve the equation \( 3x + 5 = 11 \).

1. Start
2. Input: \( a = 3 \), \( b = 5 \), \( c = 11 \)
3. Subtract \( b \): \[ 3x = 11 - 5 = 6 \]
4. Calculate \( d = 11 - 5 = 6 \).
5. Divide by \( a \): \[ x = \frac{6}{3} = 2 \]
6. Output: \( x = 2 \)
7. End

You can implement this algorithm programmatically or manually to solve any two-step equation of the specified form.