2 k x - n = - 28 15 x - 36 19 In the given equation, k and n

Question

2 k x - n = - 28 15 x - 36 19 In the given equation, k and n are constants and n &#62; 1 . The equation has no solution. What is the value of k ?

Accepted Answer

The correct answer is - 14 15 . A linear equation in the form a x + b = c x + d has no solution only when the coefficients of x on each side of the equation are equal and the constant terms are not equal. Dividing both sides of the given equation by 2 yields k x - n = - 28 30 x - 36 38 , or k x - n = - 14 15 x - 18 19 . Since it&rsquo;s given that the equation has no solution, the coefficient of x on both sides of this equation must be equal, and the constant terms on both sides of this equation must not be equal. Since 18 19 < 1 , and it's given that n > 1 , the second condition is true. Thus, k must be equal to - 14 15 . Note that -14/15, -.9333, and -0.933 are examples of ways to enter a correct answer.

Question 2-k-x-