IB skill practice

Solve Diophantine equations

Find integer solutions and interpret constraints in linear Diophantine equations.

Paper 1, Paper 2 5 marks Difficulty 3

Solve Diophantine equations - linear Diophantine equation item

Case B3. Use the gcd chain and calculate the requested solvability, parameter, or scaling value.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.