Answer:
the numerator of the fraction is 14
Step-by-step explanation:
Let x be the numerator of the fraction
The denominator of a fraction is 7 less than 3 times the numerator
denominator is 3 times of numerator -7
denominator is 3x-7
numerator by denominator = 2/5
[tex]\frac{x}{3x-7} =\frac{2}{5}[/tex]
cross multiply it
[tex]5x=2(3x-7)[/tex]
[tex]5x=6x-14[/tex]
subtract 6x from both sides
[tex]-1x=-14[/tex]
divide both sides by -1
x=14
so the numerator of the fraction is 14
