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

y = 4 x - 9
y = 19

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

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Explanation

Choice B is correct. It's given by the second equation in the system that y = 19 . Substituting 19 for y in the first equation yields 19 = 4 x - 9 . Adding 9 to both sides of this equation yields 28 = 4 x . Dividing both sides of this equation by 4 yields 7 = x . Therefore, since x = 7 and y = 19 , the solution x,y to the given system of equations is 7,19.

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

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

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