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Algebra / Systems of two linear equations in two variables Difficulty: Easy

y = 12 x - 20

y = 28

What is the solution x,y to the given system of equations?

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Explanation

Choice A is correct. The second equation in the given system is y = 28 . Substituting 28 for y in the first equation in the given system yields 28 = 12 x - 20 . Adding 20 to both sides of this equation yields 48 = 12 x . Dividing both sides of this equation by 12 yields 4 = x . Therefore, the solution x,y to the given system of equations is 4,28.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the solution y,x, not x,y, to the given system of equations.

Choice D is incorrect and may result from conceptual or calculation errors.