Exercise algebra.equations.linear.balance
Description
Solve a linear equation using only balance rules.
Firsts
Rule algebra.equations.linear.balance.var-right-minus Location [] Term "Just (TCon relation1.eq [TNum 14,TCon arith1.minus [TCon arith1.times [TNum 4,TVar \"x\"],TNum 2]])" Focus "Just (TCon relation1.eq [TNum 14,TCon arith1.minus [TCon arith1.times [TNum 4,TVar \"x\"],TNum 2]])" Environment term=2*x Rule algebra.equations.linear.balance.var-left-minus Location [] Term "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.unary_minus [TCon arith1.times [TNum 4,TVar \"x\"]],TNum 14],TCon arith1.unary_minus [TNum 2]])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.unary_minus [TCon arith1.times [TNum 4,TVar \"x\"]],TNum 14],TCon arith1.unary_minus [TNum 2]])" Environment term=6*x Rule algebra.equations.linear.balance.con-right-minus Location [] Term "Just (TCon relation1.eq [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.minus [TCon arith1.times [TNum 6,TVar \"x\"],TNum 16]])" Focus "Just (TCon relation1.eq [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.minus [TCon arith1.times [TNum 6,TVar \"x\"],TNum 16]])" Environment term=14 Rule algebra.equations.linear.balance.smart-div Location [] Term "Just (TCon relation1.eq [TCon arith1.plus [TVar \"x\",TNum 7],TCon arith1.minus [TCon arith1.times [TNum 3,TVar \"x\"],TNum 1]])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TVar \"x\",TNum 7],TCon arith1.minus [TCon arith1.times [TNum 3,TVar \"x\"],TNum 1]])" Environment factor=2