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The given equation is:

\[
x - 5y = 5
\]

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

\[
x = 5 + 5y
\]

Alternatively, you can solve for \(y\):

\[
y = \frac{x - 5}{5}
\]

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

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 \(x - 5y = 5\)?
3. Can you solve this equation for a specific value of \(x\) or \(y\)?
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.).

Explore the solution to the linear equation x - 5y = 5, including the slope and y-intercept form. Learn how to graph the equation and understand key algebraic concepts. Suitable for students in Grades 8-10.

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