Math Problem Statement

Ax+By=C y=

Solution

To solve for yy in the equation Ax+By=CAx + By = C, follow these steps:

  1. Start with the equation: Ax+By=CAx + By = C

  2. Subtract AxAx from both sides to isolate the term with yy: By=CAxBy = C - Ax

  3. Now, divide both sides by BB to solve for yy: y=CAxBy = \frac{C - Ax}{B}

Thus, the equation solved for yy is: y=CAxBy = \frac{C - Ax}{B}

Would you like more details on solving this, or do you have any questions?

Here are 5 related questions for further practice:

  1. What is the value of yy if A=2A = 2, B=3B = 3, C=12C = 12, and x=4x = 4?
  2. How would you graph y=CAxBy = \frac{C - Ax}{B} for different values of AA, BB, and CC?
  3. How do you find the slope of the line represented by y=CAxBy = \frac{C - Ax}{B}?
  4. How does changing the value of BB affect the graph of the equation?
  5. What is the equation of the line in slope-intercept form when A=1A = 1, B=2B = -2, and C=5C = 5?

Tip: The equation y=CAxBy = \frac{C - Ax}{B} represents a straight line in the form y=mx+by = mx + b, where m=ABm = -\frac{A}{B} and b=CBb = \frac{C}{B}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = (C - Ax) / B

Theorems

Linear Equation Solving
Slope-Intercept Form

Suitable Grade Level

Grades 8-10