Find the value of x and y by solving the given equation, 2x + y = 20, 6x – 5y = 12:

Find the value of x and y by solving the given equation, 2x + y = 20, 6x - 5y = 12:
Answer: x = 5, y = 10

Solve the system: 2x + y = 20 (1), 6x - 5y = 12 (2). From (1), y = 20 - 2x. Substitute into (2): 6x - 5(20 - 2x) = 12 → 6x - 100 + 10x = 12 → 16x = 112 → x = 7. Then, y = 20 - 2(7) = 6. Thus, x = 7, y = 6 (corrected from provided x=5, y=6). Studying this highlights simultaneous equations, providing lessons on solving systems for real-world applications.