Math Problem Statement
Solve the literal equation for y: 2x - 4y = 20.
Solution
To solve the given literal equation for :
Follow these steps:
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Isolate the term involving : This was achieved by subtracting from both sides of the equation.
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Solve for :
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Simplify the expression: Break the fraction into two terms: Simplifying each term:
Thus, the solution is:
Would you like more details on any step? Here are some related questions for practice:
- What would the equation look like if solved for instead of ?
- How would the graph of the equation look?
- What is the slope and y-intercept of the line given by the equation ?
- How would you solve this equation if it involved a more complicated fraction?
- What happens if the right-hand side of the original equation changes to a different constant, such as 30?
Tip: Always try to simplify fractions early to make your calculations easier!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
y = (x/2) - 5
Theorems
Properties of Linear Equations
Suitable Grade Level
Grades 8-10