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

4 x - 3 y = 5

x = 8

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 x=8. Substituting 8 for x in the first equation in the given system yields 4(8)-3y=5, or 32-3y=5. Subtracting 32 from both sides of this equation yields -3y=-27. Dividing both sides of this equation by -3 yields y=9. Therefore, the solution (x,y) to the given system of equations is (8,9).

Choice B 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.