; Combine 3 simultaneous linear equations with 3 unknowns (x, y, z). ; Solve for all 3 unknowns using the eliminate, solve, and simplify commands. clear all ; restart Mathomatic ; enter all 3 equations: d1=a1*x+b1*y+c1*z d2=a2*x+b2*y+c2*z d3=a3*x+b3*y+c3*z 2 ; select equation number 2 as the current equation eliminate x ; eliminate variable x from the current equation 3 ; select equation number 3 eliminate x y ; eliminate variables x and then y from the current equation z ; solve and find z 2 ; select equation number 2 eliminate z using 3 ; find y by combining equation numbers 2 and 3 simplify 1 ; select equation number 1 eliminate z using 3 y using 2; find x simplify all ; simplify and display all solutions