Question

X/a=1+x/b make (x,b) the subject​

Answer 1

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)

Answer 2

Explanation:

`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\\(x(b-a))/((b-a)) = (ab)/((b-a)) \\x = (ab)/((b-a))`

`x/a=1+x/b\\Make ; b -subject-of-formula\\(x)/(a) -1=(x)/(b) \\Multiply-both-sides-by ; b\\\\b((x)/(a) -1) = x\\(b((x)/(a) -1))/(((x)/(a) -1)) = (x)/(((x)/(a) -1)) \\\\b = (x)/(((x)/(a) -1) )`