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For the given systems of equations:

### System (A):
1. \( 4x + 5y = 7 \)
2. \( 3y - 4x = 17 \)

The solution is:
- \( x = -2 \)
- \( y = 3 \)

### System (B):
1. \( 2x + 5y - 3 = 0 \) (which simplifies to \( 2x + 5y = 3 \))
2. \( 3x + 8y = 4 \)

The solution is:
- \( x = 4 \)
- \( y = -1 \)

Do you want more details on how these solutions were obtained? 

Here are 5 related questions:
1. How do you solve systems of linear equations by substitution?
2. What is the graphical interpretation of solving linear systems?
3. How do you solve systems of equations using matrices (Gaussian elimination)?
4. How can linear systems be solved using the determinant (Cramer's Rule)?
5. What are inconsistent systems, and how can you identify them?

**Tip:** Checking solutions by plugging them back into the original equations can help verify their accuracy.

Learn how to solve systems of linear equations, such as 4x + 5y = 7 and 3y - 4x = 17, using substitution and elimination methods. Explore key concepts in algebra for students in Grades 9-12.

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