Math Problem Statement
Which equation is equivalent to 4x − 3y = 15 when solved for y?
Solution
To solve the equation for , follow these steps:
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Start with the given equation:
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Subtract from both sides:
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Divide both sides by to isolate :
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Simplify the right-hand side:
Thus, the equivalent equation when solved for is:
Would you like a detailed explanation of any step?
Here are 5 related questions:
- How do you solve an equation with fractions involved?
- What is the slope-intercept form of a linear equation?
- Can you solve the equation for instead of ?
- What is the graph of the equation ?
- How do you find the slope of a line from an equation?
Tip: Always check your result by plugging it back into the original equation to verify correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Solving for a Variable
Formulas
Linear equation in the form Ax + By = C
y = mx + b (slope-intercept form)
Theorems
Properties of equality
Slope-intercept form
Suitable Grade Level
Grades 8-10