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.plus [TCon arith1.minus [TCon arith1.times [TNum 3,TVar \"x\"],TCon arith1.times [TNum 4,TVar \"x\"]],TNum 4],TCon arith1.minus [TCon arith1.plus [TNum 12,TCon arith1.times [TNum 10,TVar \"x\"]],TNum 10]])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.minus [TCon arith1.times [TNum 3,TVar \"x\"],TCon arith1.times [TNum 4,TVar \"x\"]],TNum 4],TCon arith1.minus [TCon arith1.plus [TNum 12,TCon arith1.times [TNum 10,TVar \"x\"]],TNum 10]])" Environment factor=4 Rule algebra.equations.linear.balance.collect Location [] Term "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.unary_minus [TCon arith1.times [TCon arith1.divide [TNum 1,TNum 4],TVar \"x\"]],TNum 1],TCon arith1.plus [TCon arith1.divide [TNum 1,TNum 2],TCon arith1.times [TCon arith1.divide [TNum 5,TNum 2],TVar \"x\"]]])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.unary_minus [TCon arith1.times [TCon arith1.divide [TNum 1,TNum 4],TVar \"x\"]],TNum 1],TCon arith1.plus [TCon arith1.divide [TNum 1,TNum 2],TCon arith1.times [TCon arith1.divide [TNum 5,TNum 2],TVar \"x\"]]])" Environment