Algebra: A Combined Approach (4th Edition)

5 + $\frac{4}{x}$ = 1 Multiply both sides by x. Thus, x(5 + $\frac{4}{x}$) = 1(x) 5x + $\frac{4}{x}$x = x 5x + 4 = x. Thus 5x - x + 4 = x - x. Thus 4x + 4 = 0 4x + 4 - 4 = 0 - 4 4x = - 4 x= -1. Check: Put x = -1 in $\rightarrow$5 + $\frac{4}{x}$ = 1. Thus 5 + $\frac{4}{-1}$ = 1? 5 + (-4) = 1? 5 - 4 =1? 1=1. Hence proved.