How do you solve $2/3n - 7 = 19$ ?

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Answer 1 · 2015-08-05T13:47:46

$color(blue)(n=39$

$2/3n−7=19$

$(2n−21)/3=19$

$2n−21=19*3$

$2n=57 +21$

$2n=78$

$n=78/2$

$color(blue)(n=39$

Answer 2 · 2015-08-05T13:50:05

You isolate $n$ on one side of the equation to get $n=39$ .

All you need to do in order to solve this equation is get $n$ alone on one side of the equation.

To do that, start by adding $7$ to both sides of the equation

$2/3n - color(red)(cancel(color(black)(7))) + color(red)(cancel(color(black)(7))) = 19 + 7$

$2/3n = 26$

Now multiply boh sides of the equation by $3/2$ to get

$color(red)(cancel(color(black)(3/2))) * color(red)(cancel(color(black)(2/3))) n = 26 * 3/2$

$n = color(green)(39)$

How do you solve 2/3n - 7 = 192/3n - 7 = 19?