y = 6 x + 3 One of the two equations in a system of linear equations is given. The

Question

y = 6 x + 3 One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equation could be the second equation in this system?

Accepted Answer

Choice D is correct. It&rsquo;s given that the system has infinitely many solutions. A system of two linear equations has infinitely many solutions when the two linear equations are equivalent. When one equation is a multiple of another equation, the two equations are equivalent. Multiplying each side of the given equation by 2 yields 2 y = 2 6 x + 3 . Thus, 2 y = 2 6 x + 3 is equivalent to the given equation and could be the second equation in the system. Choice A is incorrect. The system consisting of this equation and the given equation has one solution rather than infinitely many solutions. Choice B is incorrect. The system consisting of this equation and the given equation has one solution rather than infinitely many solutions. Choice C is incorrect. The system consisting of this equation and the given equation has no solutions rather than infinitely many solutions.

Question 73c425