Exercise algebra.equations.linear.balance
Description
Solve a linear equation using only balance rules.
Firsts
Rule algebra.equations.linear.balance.remove-div Location [] Term "Just (TCon relation1.eq [TCon arith1.unary_minus [TCon arith1.times [TNum 3,TCon arith1.plus [TVar \"x\",TNum 2]]],TCon arith1.minus [TCon arith1.times [TNum 54,TCon arith1.plus [TCon arith1.times [TCon arith1.divide [TNum 2,TNum 3],TVar \"x\"],TCon arith1.divide [TNum 1,TNum 3]]],TNum 10]])" Focus "Just (TCon relation1.eq [TCon arith1.unary_minus [TCon arith1.times [TNum 3,TCon arith1.plus [TVar \"x\",TNum 2]]],TCon arith1.minus [TCon arith1.times [TNum 54,TCon arith1.plus [TCon arith1.times [TCon arith1.divide [TNum 2,TNum 3],TVar \"x\"],TCon arith1.divide [TNum 1,TNum 3]]],TNum 10]])" Environment factor=6 Rule algebra.equations.linear.balance.distribute Location [] Term "Just (TCon relation1.eq [TCon arith1.divide [TCon arith1.minus [TCon arith1.unary_minus [TCon arith1.times [TNum 3,TVar \"x\"]],TNum 6],TNum 6],TCon arith1.plus [TCon arith1.times [TNum 6,TVar \"x\"],TCon arith1.divide [TNum 4,TNum 3]]])" Focus "Just (TCon relation1.eq [TCon arith1.divide [TCon arith1.minus [TCon arith1.unary_minus [TCon arith1.times [TNum 3,TVar \"x\"]],TNum 6],TNum 6],TCon arith1.plus [TCon arith1.times [TNum 6,TVar \"x\"],TCon arith1.divide [TNum 4,TNum 3]]])" Environment Rule algebra.equations.linear.balance.div-to-fraction Location [0] Term "Just (TCon relation1.eq [TCon arith1.unary_minus [TCon arith1.times [TCon arith1.divide [TNum 1,TNum 2],TCon arith1.plus [TVar \"x\",TNum 2]]],TCon arith1.minus [TCon arith1.times [TNum 9,TCon arith1.plus [TCon arith1.times [TCon arith1.divide [TNum 2,TNum 3],TVar \"x\"],TCon arith1.divide [TNum 1,TNum 3]]],TCon arith1.divide [TNum 5,TNum 3]]])" Focus "Just (TCon arith1.unary_minus [TCon arith1.times [TCon arith1.divide [TNum 1,TNum 2],TCon arith1.plus [TVar \"x\",TNum 2]]])" Environment