How do you solve r-2s=14 for S?

1 Answer
smendyka
Apr 18, 2017

See the entire solution process below:

Explanation:

First, add color(red)(2s)2s and subtract color(blue)(14)14 from each side of the equation to isolate the ss term in a positive form while keeping the equation balanced:

r - 2s + color(red)(2s) - color(blue)(14) = 14 + color(red)(2s) - color(blue)(14)r−2s+2s−14=14+2s−14

r - color(blue)(14) - 2s + color(red)(2s) = 14 - color(blue)(14) + color(red)(2s)r−14−2s+2s=14−14+2s

r - color(blue)(14) - 0 = 0 + color(red)(2s)r−14−0=0+2s

r - 14 = 2sr−14=2s

Now, divide each side of the equation by color(red)(2)2 to solve for ss while keeping the equation balanced:

(r - 14)/color(red)(2) = (2s)/color(red)(2)r−142=2s2

(r - 14)/2 = (color(red)(cancel(color(black)(2)))s)/cancel(color(red)(2))

(r - 14)/2 = s

s = (r - 14)/2

Or

s = r/2 - 14/2

s = r/2 - 7

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