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.