Math Problem Statement
y²+4x-14y=-53
Solution
Let's solve the equation .
We are trying to simplify or solve for one of the variables. However, since this is a multivariable equation, it is possible to isolate one variable in terms of the other. Let's express in terms of .
Steps:
- Rearrange the equation:
- Isolate :
- Solve for :
Thus, the solution in terms of is:
Would you like to go over the steps or explore a different approach?
Related Questions:
- How would the equation change if we were solving for in terms of ?
- What happens if we try completing the square on the part?
- How does changing the constant value on the right-hand side affect the result?
- How can we interpret this equation geometrically?
- What if the equation were ? How would that affect the solution?
Tip:
When dealing with equations involving multiple variables, isolating one variable can make solving easier and help understand relationships between variables.
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Math Problem Analysis
Mathematical Concepts
Algebra
Multivariable Equations
Rearranging Equations
Formulas
y² - 14y + 4x = -53
x = ( -53 - y² + 14y ) / 4
Theorems
-
Suitable Grade Level
Grades 9-11