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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

If 42x=16, what is the value of 6 x ?

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Explanation

Choice B is correct. Dividing each side of the given equation by 4 yields 2x=4. Squaring both sides of this equation yields 2 x = 16 . Multiplying each side of this equation by 3 yields 6 x = 48 . Therefore, the value of 6 x is 48 .

Choice A is incorrect. This is the value of 3 x , not 6 x .

Choice C is incorrect. This is the value of 9 x , not 6 x .

Choice D is incorrect. This is the value of 12 x , not 6 x .