y = - 1 9 x y = 1 2 x The solution to the given system of equations is

Question

y = - 1 9 x y = 1 2 x The solution to the given system of equations is x , y . What is the value of x ?

Accepted Answer

Choice C is correct. It's given by the first equation in the system that y = - 1 9 x . Substituting - 1 9 x for y in the second equation in the system yields - 1 9 x = 1 2 x . Multiplying the left-hand side of this equation by 2 2 and the right-hand side by 9 9 yields - 2 18 x = 9 18 x . Adding 2 18 x to both sides of this equation yields 0 = 11 18 x . Multiplying both sides of this equation by 18 11 yields x = 0 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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