Question

Please help me it’s getting late and it’s due tomorrow
For what value(s) of b does the equation
x +3 - x = (bx - 5) have
exactly one solution?

Answer 1

Answer:

$b = \dfrac{11}{x} + 1$

Step-by-step explanation:

The equation is given as follows;

$x + 3 - \dfrac{1}{2} \cdot x = \dfrac{1}{2} \cdot (b \cdot x - 5)$

By expanding and collecting terms in x we get;

$3 + \dfrac{x}{2} = \dfrac{b \cdot x}{2} - 2.5$

$\therefore 3 + 2.5 + \dfrac{x}{2} = 5.5 + \dfrac{x}{2} = \dfrac{b \cdot x}{2}$

b = (11 + x)/x = 11/x + 1

The equation has exactly one solution when b = 11/x + 1