Multiple choice

State true or false: The root of the equation $\dfrac{y}{2}+6 = y$ is $\dfrac{1}{\sqrt{2}}$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

y/2 + 6 = y implies 6 = y/2, so y = 12. The value 1/sqrt(2) is not 12.

AI explanation

To solve the linear equation y/2 + 6 = y, subtract y/2 from both sides to get 6 = y/2. Multiplying both sides by 2 shows that the root is y = 12. Since 12 is not equal to 1/sqrt(2), the statement is false.

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