(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
[tex]\begin{gathered} \left(b-2\right)x=8 \\ x=\frac{8}{(b-2)} \\ \end{gathered}[/tex]This value becomes indeterminate when the denominator takes the value of zero,it is
[tex]\begin{gathered} b-2\text{ =0} \\ \text{isolating x} \\ b=2 \\ \end{gathered}[/tex]so , the value of b=2 makes the equation has no solution.
Answer
A) 2
