https://file.aiquickdraw.com/mathbot/file/1726523310466atgyquf4.jpg

The image contains the equation:

\[
2x + 3y = 5
\]

This is a linear equation in two variables \(x\) and \(y\). If you need to solve for one variable in terms of the other, or to graph it, let me know. Here are a few possible steps:

### 1. Solve for \(y\) in terms of \(x\):
\[
3y = 5 - 2x \implies y = \frac{5 - 2x}{3}
\]

### 2. Solve for \(x\) in terms of \(y\):
\[
2x = 5 - 3y \implies x = \frac{5 - 3y}{2}
\]

### 3. Find specific solutions if either \(x\) or \(y\) is given.

Would you like to proceed with any of these? Do you have any questions or need further details?

Here are 5 related questions for practice:
1. What is the slope of the line represented by \(2x + 3y = 5\)?
2. How do you graph this equation on a Cartesian plane?
3. What are the x- and y-intercepts of the line \(2x + 3y = 5\)?
4. How would you write this equation in standard form?
5. How do you find a solution pair \((x, y)\) that satisfies the equation?

**Tip**: When solving for one variable, always perform operations symmetrically on both sides of the equation to maintain equality.

Understand how to solve the linear equation 2x + 3y = 5. This tutorial covers key algebraic concepts, such as finding intercepts, solving for variables, and converting to slope-intercept form. Ideal for students in Grades 7-10.

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