Question

If a and b are real numbers, when does the equation $3x-5+a=bx+1$ has a unique solution $x$?

• A. For all $a$ and $b$
• B. No root
• C. If $a\ne 6$
• D. If $b\ne 3$

Answer 1

The correct option is D If $b\ne 3$

The equation can be written as $(3-b)x+a-6=0$.

For unique solution, Coefficient of $x$ should not be equal to zero.

So, $3-b\ne 0$$\Rightarrow b\ne 3$