3 ( k x + 13 ) = 48 17 x + 36 In the given equation, k is a

Question

3 ( k x + 13 ) = 48 17 x + 36 In the given equation, k is a constant. The equation has no solution. What is the value of k ?

Accepted Answer

The correct answer is 16 17 . It's given that the equation 3 k x + 13 = 48 17 x + 36 has no solution. A linear equation in the form a x + b = c x + d , where a , b , c , and d are constants, has no solution only when the coefficients of x on each side of the equation are equal and the constant terms aren't equal. Dividing both sides of the given equation by 3 yields k x + 13 = 48 51 x + 36 3 , or k x + 13 = 16 17 x + 12 . Since the coefficients of x on each side of the equation must be equal, it follows that the value of k is 16 17 . Note that 16/17, .9411, .9412, and 0.941 are examples of ways to enter a correct answer.

Question 3-k-x-