Math Problem Statement

x = 5y

Solution

The equation x = 5y expresses a relationship between x and y, meaning x is always five times y.

Possible interpretations:

  1. If solving for y:
    y=x5y = \frac{x}{5}
  2. If given a value for x or y:
    • If y = 2, then x = 5(2) = 10.
    • If x = 15, then y = \frac{15}{5} = 3.
  3. Graphically:
    This represents a straight line passing through the origin with slope 5.

Would you like further details or applications of this equation?

Related Questions:

  1. If x = 5y and y = 4, what is the value of x?
  2. What is the slope of the line represented by x = 5y in terms of y = mx + b?
  3. If x = 5y and y = 3x + 2, how can we solve for x and y?
  4. How does x = 5y compare to x = 3y + 2 graphically?
  5. What are the intercepts of the equation x = 5y?

Tip:
For linear equations, rewriting them in y = mx + b form makes it easier to analyze their slope and intercepts!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope of a Line

Formulas

y = x / 5
Slope = 5

Theorems

Linear equations in the form x = my
Graph of linear equations

Suitable Grade Level

Grades 7-9