How do you solve $s + 9/10 = 1/2$ ?

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Answer 1 · 2017-02-19T03:23:58

See the entire solution process below:

First, multiply each side of the equation by $color(red)(10)$ to eliminate the fractions while keeping the equation balanced:

$color(red)(10)(s + 9/10) = color(red)(10) xx 1/2$

$(color(red)(10) xx s) + (color(red)(10) xx 9/10) = cancel(color(red)(10)) 5 xx 1/color(red)(cancel(color(black)(2)))$

$10s + (cancel(color(red)(10)) xx 9/color(red)(cancel(color(black)(10)))) = 5$

$10s + 9 = 5$

Next, subtract $color(red)(9)$ from each side of the equation to isolate the $s$ term while keeping the equation balanced:

$10s + 9 - color(red)(9) = 5 - color(red)(9)$

$10s + 0 = -4$

$10s = -4$

Now, divide each side of the equation by $color(red)(10)$ to solve for $s$ while keeping the equation balanced:

$(10s)/color(red)(10) = -4/color(red)(10)$

$(color(red)(cancel(color(black)(10)))s)/cancel(color(red)(10)) = -2/5$

$s = -2/5$

How do you solve s + 9/10 = 1/2 s + 9/10 = 1/2?