Math Problem Statement

x - 5y = 5

Solution

The given equation is:

x5y=5x - 5y = 5

This is a linear equation in two variables, xx and yy. To solve for one variable in terms of the other, we can isolate either xx or yy. Let's isolate xx first:

x=5+5yx = 5 + 5y

Alternatively, you can solve for yy:

y=x55y = \frac{x - 5}{5}

This equation represents a straight line in the Cartesian plane. The slope of the line is 5, and the y-intercept is 1-1, which means it crosses the y-axis at (0,1)(0, -1).

Would you like further details on how to graph this or solve it for specific values?

Here are some related questions for further practice:

  1. How do you find the slope and y-intercept of the line from the equation?
  2. What are the x and y-intercepts of the line represented by x5y=5x - 5y = 5?
  3. Can you solve this equation for a specific value of xx or yy?
  4. How do you graph a line with a given slope and y-intercept?
  5. What are parallel and perpendicular lines in relation to the given line?

Tip: A good way to solve equations like this is to decide which variable you need based on the context (like graphing, solving for a point, etc.).

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

x = 5 + 5y
y = (x - 5) / 5

Theorems

Slope of a Line

Suitable Grade Level

Grades 8-10