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Algebra / Linear equations in one variable Difficulty: Easy

3x+21=3x+k

In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k ?

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Explanation

The correct answer is 21 . It's given that the equation 3 x + 21 = 3 x + k has infinitely many solutions. If an equation in one variable has infinitely many solutions, then the equation is true for any value of the variable. Subtracting 3 x from both sides of the given equation yields k = 21 . Since this equation must be true for any value of x , the value of k is 21 .