Question

1. If s = 3t + 5/r solve for t, in terms of s and r.

2. If s = 2t/r solve for t, in terms of s and r.
3. if 5x + 8b = 2c, solve for x in terms of a, b, and c.
4. If s = (7t + 5/2r ) - 5b solve for t, in terms of b, s, and r.

Answer 1

`1.\\(3t+5)/(r)=s\qquad|\cdot r\\eq0\\\\3t+5=rs\qquad|-5\\\\3t=rs-5\qquad|:3\\\\\boxed{t=(rs-5)/(3)}\\\\2.\\(2t)/(r)=s\qquad|\cdot r\\eq0\\\\2t=rs\qquad|:2\\\\\boxed{t=(rs)/(2)}\\\\3.\\5x+8b=2c\qquad|-8b\\\\5x=2c-8b\qquad|:5\\\\\boxed{x=(2c-8b)/(5)}\\\\4.\\\\(7t+5)/(2r)-5b=s\qquad|+5b\\\\(7t+5)/(2r)=s+5b\qquad|\cdot2r\\eq0\\\\7t+5=2rs+10br\qquad|-5\\\\7t=2rs+10br-5\qquad|:7\\\\\boxed{t=(2rs+10br-5)/(7)}`