Diofant equation

250x + 120y = 5640

Correct result:

x1 =  0
y1 =  47
x2 =  12
y2 =  22

Solution:

250x+120y=5640 25x+12y=564  25=5×5 12=2×2×3 564=2×2×3×47  x1=0250x + 120y=5640 \ \\ 25x + 12y=564 \ \\ \ \\ 25=5 \times 5 \ \\ 12=2 \times 2 \times 3 \ \\ 564=2 \times 2 \times 3 \times 47 \ \\ \ \\ x_{1}=0
y1=47y_{1}=47
x2=12x_{2}=12
y2=22y_{2}=22



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