X = 5y -7

How to turn this into Ax + By =C

To convert the equation \( X = 5y - 7 \) into the standard form \( Ax + By = C \), follow these steps:

1. **Identify the variables and constants:**
   - The equation given is \( X = 5y - 7 \).

2. **Rearrange the equation to isolate the terms involving \( x \) and \( y \) on one side and the constant on the other side:**
   - Since \( X \) is equivalent to \( x \) in the standard form, the equation becomes:
   \[ x = 5y - 7 \]

3. **Move all the terms involving variables to one side of the equation:**
   - Subtract \( 5y \) from both sides to get:
   \[ x - 5y = -7 \]

Now, the equation is in the standard form \( Ax + By = C \), where:
   - \( A = 1 \)
   - \( B = -5 \)
   - \( C = -7 \)

So, the standard form of the equation is:
\[ x - 5y = -7 \]

Would you like more details or have any questions?

Here are some related questions:

1. How to convert a quadratic equation into standard form?
2. What is the significance of the standard form \( Ax + By = C \)?
3. How to graph the equation \( x - 5y = -7 \)?
4. What is the slope of the line represented by \( x - 5y = -7 \)?
5. How to find the x-intercept and y-intercept of the equation \( x - 5y = -7 \)?
6. How to determine if two lines are parallel using their equations?
7. How to convert the standard form of a line to slope-intercept form?
8. What are the applications of the standard form \( Ax + By = C \) in real life?

**Tip:** When converting equations to different forms, always keep track of the coefficients and constants to ensure accuracy.

Learn how to convert the equation X = 5y - 7 into the standard form Ax + By = C. Follow step-by-step instructions to rearrange the equation and identify coefficients. Suitable for students in Grades 7-9 studying algebra and linear equations.

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