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

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

Explanation:

The equation is given as follows;

`x + 3 - (1)/(2) \cdot x = (1)/(2) \cdot (b \cdot x - 5)`

By expanding and collecting terms in x we get;

`3 + (x)/(2) = (b \cdot x)/(2) - 2.5`

`\therefore 3 + 2.5 + (x)/(2) = 5.5 + (x)/(2) = (b \cdot x)/(2)`

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

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