To circumvent the right to vote given to African Americans under the Fifteenth Amendment (1870), southern states employed the white primary to limit the political influence of blacks. In Smith v. Allwright (1944), the Supreme Court held that.

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Answer: The answer is:

 In Smith v. Allwright (1944), the Supreme Court held that the restrictions against blacks were unconstitutional.

Explanation:

The Democratic primary system of Texas allowed whites to structurally dominate the politics of the one-party South. Lonnie E. Smith, a black man, whose right to vote in the 1940 Texas Democratic primary was denied by Allwright  a county election official.

The Supreme court held that this was unconstitutional and violated the Fourteenth and Fifteenth Amendments.