Math Problem Statement
Make x subject of the formula
Make x the subject of the formula: ax + b = cx + d
Solution
The equation given is:
To solve for , follow these steps:
-
Move all terms involving to one side: Subtract from both sides:
-
Simplify the terms involving : Combine like terms:
-
Move constant terms to the other side: Subtract from both sides:
-
Solve for : Divide both sides by (assuming ):
Thus, the formula for is:
Let me know if you'd like further clarification or detailed steps for this! Here are five follow-up questions for practice:
- What happens if in the original equation?
- How can this formula be applied to a specific numerical example?
- What is the significance of in the denominator?
- How do you check if your solution for is correct?
- Can this formula be extended to equations with more variables?
Tip: Always isolate terms involving the variable step by step to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Variable Isolation
Formulas
x = (d - b) / (a - c)
Theorems
-
Suitable Grade Level
Grades 8-10