Question
In the given equation, k is a constant. The equation has no solution. What is the value of k?
The correct answer is: 0.5
HINT: Find a value for k such that the given equation has no solution.
Complete step by step solution:
Given equation is
On multiplying the entire equation by 2, we get, x + 10 = 2kx + 14
Assume we take the value of k to be 
.
We get x + 10 = x + 14, which is never possible because there will always be a difference of 4 between 10 and 14.
Hence the value of ,k can be (or) 0.5, such that this equation has no solution.
An inconsistent system is a set of equations for which no solution exists.
One solution of the system is shown as x = y = z = 0. D must be zero for endless solutions (including non-zero ones). There are thus two possible possibilities for k, but there is only one non-zero answer, e.g.: The value of K can be 2 or 0.5.
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