3 x + 21 = 3 x + k In the given equation, k is a constant. The equation has

Question

3 x + 21 = 3 x + k In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k ?

Accepted Answer

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 .

Question 3-x-21