Respuesta :

Answer:

Step-by-step explanation:

[tex]x/a=1+x/b \\Make- x -subject- of- formula\\Multiply -both-sides-by ; ab\\bx =ab+ax\\bx-ax=ab\\x(b-a) =1ab\\\frac{x(b-a)}{(b-a)} = \frac{ab}{(b-a)} \\x = \frac{ab}{(b-a)}[/tex]

[tex]x/a=1+x/b\\Make ; b -subject-of-formula\\\frac{x}{a} -1=\frac{x}{b} \\Multiply-both-sides-by ; b\\\\b(\frac{x}{a} -1) = x\\\frac{b(\frac{x}{a} -1)}{(\frac{x}{a} -1)} = \frac{x}{(\frac{x}{a} -1)} \\\\b = \frac{x}{(\frac{x}{a} -1) }[/tex]

Step-by-step explanation:

x÷a = 1 + x÷b

To make x subject of the formula

x÷a = 1 + x÷b

x/a - x/b = 1

(xb - xa)/ab = 1

xb - xa = ab

x(b - a) = ab

x = ab/(b-a)

To make b subject of the formula

x÷a = 1 + x÷b

x/a - 1 = x/b

(x - a)/a = x/b

b(x-a) = ax

b = ax/(x-a)