sat suite question viewer
Algebra
/ Systems of two linear equations in two variables
Difficulty: Hard
Which system of linear equations has no solution?
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Explanation
Choice D is correct. A system of linear equations can be solved by the elimination method. Multiplying the equation by yields . Adding this equation to the equation yields , which has no solution. It follows that the system of linear equations consisting of and has no solution.
Choice A is incorrect. This system of linear equations has infinitely many solutions, rather than no solution.
Choice B is incorrect. This system of linear equations has one solution, rather than no solution.
Choice C is incorrect. This system of linear equations has infinitely
many solutions, rather than no solution.