Math Problem Statement

Solve the equation for y: x - 5y = 4

Solution

Let's solve the equation x5y=4x - 5y = 4 for yy.

  1. First, isolate the term with yy on one side of the equation. Subtract xx from both sides: 5y=4x-5y = 4 - x

  2. Now, divide both sides of the equation by 5-5 to solve for yy: y=4x5y = \frac{4 - x}{-5}

This is the solution for yy.

Would you like more details or have any further questions about this? Here are a few related topics you could explore:

  1. How to solve for other variables in linear equations.
  2. The concept of isolating variables in algebraic equations.
  3. How to interpret solutions to equations involving both constants and variables.
  4. The role of coefficients in a linear equation.
  5. What happens when you solve equations with more than one variable.

Tip: Always remember to perform the same operation on both sides of an equation to maintain equality!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Isolating Variables

Formulas

y = (4 - x)/-5

Theorems

Properties of Equality

Suitable Grade Level

Grades 7-9