Math Problem Statement
Express in the form of ax + by + c = 0: sqrt(2)x = 3sqrt(2)y + 2
Solution
The problem in the image reads:
3. Express in the form of :
Solution:
We need to rearrange this equation into the form , where , , and are constants.
Start with the given equation:
Step 1: Move all terms to one side of the equation.
Subtract and from both sides:
Step 2: The equation is now in the form , where:
- ,
- ,
- .
Thus, the equation in the form is:
Would you like more details on any specific step or have further questions?
Here are some related questions to explore:
- How would the equation change if we squared both sides?
- What would happen if we isolated instead of ?
- Can we simplify the equation further by factoring out ?
- What is the geometric interpretation of this linear equation?
- How would the coefficients change if we multiplied through by ?
Tip: Always aim to simplify equations by factoring out common terms when possible.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
ax + by + c = 0
Theorems
-
Suitable Grade Level
Grades 10-12