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The image you uploaded contains mathematical problems involving Cartesian coordinates, circle equations, and line equations. Here is a breakdown of the key problems:

1. **Problem 1**: 
   - You're asked to solve the following system of linear equations:
     \[
     2x - 3y = 5 \quad \text{and} \quad \frac{4x}{3} + \frac{5y}{2} = 9.
     \]

2. **Problem 2**:
   - There's another system of linear equations provided:
     \[
     \frac{x}{3} + \frac{y}{2} = 5 \quad \text{and} \quad \frac{x}{4} - \frac{y}{5} = 4.
     \]
     You're required to find the solution set for this system.

3. **Basic Concepts in Cartesian Coordinates, Circle Equations, and Line Equations**:
   - This section discusses the basic concepts of Cartesian coordinates and equation formulations for lines and circles.

4. **Equation of a Circle**:
   - A given equation of a circle:
     \[
     (x + 2)^2 + (y - 3)^2 = 9,
     \]
     where you're asked to determine the center and radius of the circle, and then graph it in a Cartesian plane.

5. **Equation of a Line**:
   - Another exercise involves finding the equation of a line that passes through the point \( \left(\frac{3}{4}, 1 \right) \).

Would you like assistance solving any of these problems? I can guide you through the steps. Let me know!

Here are 5 related questions to expand on the topic:
1. How do you solve a system of linear equations using substitution or elimination?
2. How can you interpret the general form of a circle equation geometrically?
3. What methods can be used to derive the equation of a line given two points?
4. How do different forms of linear equations (slope-intercept, point-slope) compare in practical application?
5. How can you graph a circle and a line in the same Cartesian coordinate plane?

**Tip**: When solving systems of equations, always ensure you manipulate equations consistently (same operations on both sides) to avoid calculation errors.

The image includes various problems related to Cartesian coordinates, circle equations, and linear equations.

Explore solving problems involving Cartesian coordinates, equations of circles and lines, and systems of linear equations. This exercise includes concepts of circle center, radius, and solving linear systems. Suitable for students in Grades 9-11.

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