The image you've uploaded contains several algebraic equations labeled from "a" to "h." Here's a transcription of the equations:

a. $4X + 5Y = 6$
b. $1.5X + 15Y = 2$
c. $\frac{1}{4}X + 2Y = -5$
d. $-3X + 6Y = 5$
e. $X - 5Y = 6$
f. $2X + 5Y = -6$
g. $0.1X + 0.5Y = 1.5$
h. $-4X - 5Y = -3$

Do you need help solving a specific system of equations, or would you like a detailed explanation of one of these?

Here are five questions to expand your understanding:

1. Do you need to solve all of these equations or just a specific pair?
2. Are you looking for a graphical solution or algebraic methods like substitution or elimination?
3. Would you like to explore how to solve equations involving fractions or decimals?
4. Do you need to find both $X$ and $Y$, or are you focusing on one variable?
5. Are these part of a linear system, and do you want to know if they have unique solutions?

Tip: When solving linear systems, always aim to simplify the equations by eliminating fractions and decimals, which makes the calculation easier.