Question

Solve the equation for x
rx+sx/t=1

Answer 1

Answer:

Simplifying

(Rx + sx) * t = 1

Reorder the terms:

(sx + xR) * t = 1

Reorder the terms for easier multiplication:

t(sx + xR) = 1

(sx * t + xR * t) = 1

(stx + txR) = 1

Solving

stx + txR = 1

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1txR' to each side of the equation.

stx + txR + -1txR = 1 + -1txR

Combine like terms: txR + -1txR = 0

stx + 0 = 1 + -1txR

stx = 1 + -1txR

Divide each side by 'tx'.

s = t-1x-1 + -1R

Simplifying

s = t-1x-1 + -1R

Reorder the terms:

s = -1R + t-1x-1

Step-by-step explanation:

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Answer 2

Answer:

x= t/(rt+s)

Step-by-step explanation:

rx+sx/t= 1

x(r+s/t)=1

x = 1/(r+s/t)

x= 1/( (rt+s)/t )

x = t/(rt+s)