{a,b} d.p {3,4}
2a+3b=54
{a,b} d.p {3,4} <=>
[tex] \frac{a}{3 } = \frac{b}{4} = k[/tex]
k=coeficient de proportionalitate
[tex] \frac{a}{3} = k = > a = 3k \\ [/tex]
[tex] \frac{b}{4} = k = > b = 4k[/tex]
2a+3b=54
2×3k+3×4k=54
6k+12k=54
18k=54
k=54÷18
k=3
a=3k=>a=3×3=9
b=4k=>b=4×3=12