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Solution:
3x + 6y = -2 --- (1)
15x + 30y = -10 --- (2)
Multiply equation (1) by 5
15x + 30y = -10 --- (3)
By subtracting equation (2) and (3)
0 = 0
Therefore, the system of equations has infinite solutions.
Summary:
The system of equations 3x + 6y = -2 and 15x + 30y = -10 has infinite solutions.