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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.

The image contains a series of linear algebraic equations labeled a to h, asking for solutions or clarifications.

Explore how to solve a series of linear equations, including those with fractions and decimals, using algebraic methods like substitution and elimination. Suitable for Grades 8-10, this lesson covers key concepts in linear algebra.

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