👤

Aflati a si b daca sunt invers proportionale cu solutiile ecuatiilor 3x+4=16 si 2y-6=y iar a+b=15.

Răspuns :

3x=16-4
3x=12
x=4
2y-y=6
y=6
{a,b} i.p{4;6}
a*4=b*6=k
a=
[tex] \frac{k}{4} [/tex]
b=[tex] \frac{k}{6} [/tex]
[tex] \frac{k}{4} + \frac{k}{6} =15[/tex]
3k+2k=15*12
5k=180
k=36
a=36:4=9
b=36:6=6