Math Problem Statement

Which equation is equivalent to 4x − 3y = 15 when solved for y?

Solution

To solve the equation 4x3y=154x - 3y = 15 for yy, follow these steps:

  1. Start with the given equation: 4x3y=154x - 3y = 15

  2. Subtract 4x4x from both sides: 3y=154x-3y = 15 - 4x

  3. Divide both sides by 3-3 to isolate yy: y=154x3y = \frac{15 - 4x}{-3}

  4. Simplify the right-hand side: y=5+43xy = -5 + \frac{4}{3}x

Thus, the equivalent equation when solved for yy is: y=43x5y = \frac{4}{3}x - 5

Would you like a detailed explanation of any step?

Here are 5 related questions:

  1. How do you solve an equation with fractions involved?
  2. What is the slope-intercept form of a linear equation?
  3. Can you solve the equation for xx instead of yy?
  4. What is the graph of the equation y=43x5y = \frac{4}{3}x - 5?
  5. 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