The case where the intersection is a unique point is often quite easy. Otherwise, computations of linear algebra will often be necessary to solve the exercise.
Attention. The condition on integer coordinates/coefficients may considerably increase the difficulty of the problem.
Other exercises on: lines planes affine geometry
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Description: find the intersection of 2 lines, 2 planes, line and plane, etc. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra, geometry, affine geometry, line, plane, hyperplane, space, implicit, point, parametric, system