Question #7d5e7

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Answer 1 · 2017-09-21T01:17:54

See below.

$\frac{4}{5} = 3 x + \frac{1}{5}$ $4/5 = 3x + 1/5$

Multiply right through by 5 to clear the fractions:

$cancel(color(red)5)(4)/(cancel(color(red)5)) = (5)3x + (cancel(color(red)5)1)/cancel(color(red)5)$

$4 = 15x +1$

Subtract 1 from both sides:

$3 = 15x$

Divide both sides by $15$

$3/15 = (cancel(color(red)(15))x)/cancel(color(red)(15)$

$x = 3/15 = color(blue)(1/5)$