Question

(b-2)x = 8In the given equation, b is a constant. If the equationhas no solution, what is the value of b ?A) 2B) 4C) 6D) 10

Answer 1

(b-2)x = 8

In the given equation, b is a constant. If the equation

has no solution, what is the value of b ?

Step 1

identify

b is a constant, so (b-2) is a constant too.

If the equation has no solution, it is, there is not a value of x to satisfy (b-2)x=8

Step 2

solve for x

`\begin{gathered} \left(b-2\right)x=8 \\ x=(8)/((b-2)) \\ \end{gathered}`

This value becomes indeterminate when the denominator takes the value of zero,it is

`\begin{gathered} b-2\text{ =0} \\ \text{isolating x} \\ b=2 \\ \end{gathered}`

so , the value of b=2 makes the equation has no solution.

Answer

A) 2