Math Problem Statement
consider the equation 2x-7y=5. Solve the equation for x in terms of y.
Solution
To solve the equation for in terms of , follow these steps:
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Start with the original equation:
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Isolate by adding to both sides:
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Divide both sides of the equation by 2 to solve for :
Thus, the solution for in terms of is:
Would you like a more detailed explanation, or do you have any questions about the steps?
Here are 5 related questions to explore:
- What would the value of be if ?
- How can you rewrite the equation in slope-intercept form?
- How would you solve for in terms of from the equation ?
- What is the significance of the slope of the equation in a linear graph?
- If the equation were instead , how would the solution for change?
Tip: When solving linear equations, isolating one variable first can simplify the process greatly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Solving for a Variable
Formulas
Linear equation: 2x - 7y = 5
Theorems
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Suitable Grade Level
Grades 8-10