Exercise algebra.equations.linear.balance
Description
Solve a linear equation using only balance rules.
Firsts
Rule algebra.equations.linear.balance.collect Location [] Term "Just (TCon relation1.eq [TCon arith1.minus [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.divide [TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 2],TNum 5]],TCon arith1.plus [TCon arith1.divide [TNum 71,TNum 6],TCon arith1.times [TCon arith1.divide [TNum 1,TNum 6],TVar \"x\"]]])" Focus "Just (TCon relation1.eq [TCon arith1.minus [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.divide [TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 2],TNum 5]],TCon arith1.plus [TCon arith1.divide [TNum 71,TNum 6],TCon arith1.times [TCon arith1.divide [TNum 1,TNum 6],TVar \"x\"]]])" Environment Rule algebra.equations.linear.balance.remove-div Location [] Term "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.times [TNum 60,TVar \"x\"],TCon arith1.times [TNum 6,TCon arith1.minus [TCon arith1.unary_minus [TCon arith1.times [TNum 2,TVar \"x\"]],TNum 2]]],TCon arith1.minus [TCon arith1.plus [TNum 360,TCon arith1.times [TNum 5,TVar \"x\"]],TNum 5]])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.times [TNum 60,TVar \"x\"],TCon arith1.times [TNum 6,TCon arith1.minus [TCon arith1.unary_minus [TCon arith1.times [TNum 2,TVar \"x\"]],TNum 2]]],TCon arith1.minus [TCon arith1.plus [TNum 360,TCon arith1.times [TNum 5,TVar \"x\"]],TNum 5]])" Environment factor=30 Rule navigator.down Location [0] Term "Just (TCon relation1.eq [TCon arith1.minus [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.divide [TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 2],TNum 5]],TCon arith1.minus [TCon arith1.plus [TNum 12,TCon arith1.times [TCon arith1.divide [TNum 1,TNum 6],TVar \"x\"]],TCon arith1.divide [TNum 1,TNum 6]]])" Focus "Just (TCon arith1.minus [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.divide [TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 2],TNum 5]])" Environment