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

y = 3 x

2 x + y = 12

The solution to the given system of equations is x,y. What is the value of 5 x ?

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Explanation

Choice C is correct. It's given by the first equation in the system that y=3x. Substituting 3 x for y in the equation 2x+y=12 yields 2x+3x=12, or 5x=12

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.