Final answer:
The Commerce Clause is common to both South Dakota v. Dole and United States v. Lopez. The facts of United States v. Lopez led to a different holding because the Gun-Free School Zones Act was found to exceed Congress's power under the Commerce Clause. The holding in South Dakota v. Dole affected the balance of power between the states and the national government by establishing Congress's power to use spending power to influence state policies.
Step-by-step explanation:
The constitutional clause that is common to both South Dakota v. Dole (1987) and United States v. Lopez (1995) is the Commerce Clause of the United States Constitution.
The facts of United States v. Lopez led to a different holding than the holding in South Dakota v. Dole because the Court found that the Gun-Free School Zones Act did not substantially affect interstate commerce and therefore exceeded the scope of Congress's power under the Commerce Clause.
The holding in South Dakota v. Dole affected the balance of power between the states and the national government by establishing that Congress has the power to use its spending power to encourage states to adopt certain policies, even if it indirectly affects areas traditionally within the states' authority.