Math Problem Statement
8x+6 = 2y
Solution
To solve the equation for , we need to isolate .
Steps:
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Start with the given equation:
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Subtract 6 from both sides to move the constant to the left:
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Now divide both sides of the equation by 2 to isolate :
Thus, the equation solved for is:
Would you like a detailed explanation of the steps, or do you have any questions?
Here are 5 related questions to consider:
- How would you solve for in terms of ?
- What is the slope of the line represented by ?
- What are the - and -intercepts of this line?
- How would you graph the equation ?
- How does the form compare to the standard form of a linear equation?
Tip: In linear equations, isolating one variable helps identify the slope and intercepts, which are useful for graphing the equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
y = mx + b (slope-intercept form of a line)
Theorems
Basic algebraic manipulation
Properties of equality
Suitable Grade Level
Grades 7-9