Math Problem Statement

X = 5y -7

How to turn this into Ax + By =C

Solution

To convert the equation X=5y7X = 5y - 7 into the standard form Ax+By=CAx + By = C, follow these steps:

  1. Identify the variables and constants:

    • The equation given is X=5y7X = 5y - 7.
  2. Rearrange the equation to isolate the terms involving xx and yy on one side and the constant on the other side:

    • Since XX is equivalent to xx in the standard form, the equation becomes: x=5y7x = 5y - 7
  3. Move all the terms involving variables to one side of the equation:

    • Subtract 5y5y from both sides to get: x5y=7x - 5y = -7

Now, the equation is in the standard form Ax+By=CAx + By = C, where:

  • A=1A = 1
  • B=5B = -5
  • C=7C = -7

So, the standard form of the equation is: x5y=7x - 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=CAx + By = C?
  3. How to graph the equation x5y=7x - 5y = -7?
  4. What is the slope of the line represented by x5y=7x - 5y = -7?
  5. How to find the x-intercept and y-intercept of the equation x5y=7x - 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=CAx + By = C in real life?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9