Question

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.