Answer
No solution
Work Step by Step
Original Equation
$\frac{2x+1}{4-x}$ = $\frac{9}{4-x}$
Multiply equation by the LCD, 4-x
2x+1 = 9
Subtract 1
2x=8
Divide by 2
x=4
However, x=4 would make the denominator equal 0, so there is no solution.