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Diophantine Equations: Linear
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Find a solution to the linear Diophantine equation 8x + 4y = 16
General solution (x, y) to the equation: x = 2 - 0.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 7x + 14y = 21
General solution (x, y) to the equation: x = 3 - 2t, y = t for integers t.
Find a solution to the linear Diophantine equation 23x + 46y = 69
General solution (x, y) to the equation: x = 3 - 2t, y = t for integers t.
Find a solution to the linear Diophantine equation 24x + 36y = 60
General solution (x, y) to the equation: x = 2.5 - 1.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 5x + 15y = 25
General solution (x, y) to the equation: x = 5 - 3t, y = t for integers t.
Find a solution to the linear Diophantine equation 13x + 19y = 1
General solution (x, y) to the equation: x = a + 19t, y = b - 13t for integers t, where (a, b) is a particular solution.
Find a solution to the linear Diophantine equation 4x + 6y = 14
General solution (x, y) to the equation: x = 3.5 - 1.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 15x + 10y = 5
General solution (x, y) to the equation: x = 0.33 - 0.67t, y = t for integers t.
Find a solution to the linear Diophantine equation 21x + 28y = 56
General solution (x, y) to the equation: x = 2 - 1.33t, y = t for integers t.
Find a solution to the linear Diophantine equation 6x + 9y = 15
General solution (x, y) to the equation: x = 2.5 - 1.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 8x + 10y = 18
General solution (x, y) to the equation: No solution since gcd(8, 10) does not divide 18.
Find a solution to the linear Diophantine equation 3x + 5y = 12
General solution (x, y) to the equation: No solution since gcd(3, 5) does not divide 12.
Find a solution to the linear Diophantine equation 10x + 25y = 35
General solution (x, y) to the equation: No solution since gcd(10, 25) does not divide 35.
Find a solution to the linear Diophantine equation 14x + 35y = 49
General solution (x, y) to the equation: x = 3.5 - 2.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 22x + 33y = 55
General solution (x, y) to the equation: x = 2.5 - 1.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 9x + 6y = 27
General solution (x, y) to the equation: x = 3 - 0.67t, y = t for integers t.
Find a solution to the linear Diophantine equation 11x + 22y = 33
General solution (x, y) to the equation: x = 3 - 2t, y = t for integers t.
Find a solution to the linear Diophantine equation 17x + 51y = 34
General solution (x, y) to the equation: x = 2 - 3t, y = t for integers t.
Find a solution to the linear Diophantine equation 18x + 45y = 27
General solution (x, y) to the equation: x = 1.5 - 2.5t, y = t for integers t.
Find a solution to the linear Diophantine equation 5x + 20y = 40
General solution (x, y) to the equation: x = 8 - 4t, y = t for integers t.
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