Aplicamos a regra: $ax+by$$=\left(\frac{a}{mcd\left(a,b\right)}x+\frac{b}{mcd\left(a,b\right)}y\right)mcd\left(a,b\right)$, onde $a=\frac{38}{25}$, $b=\frac{78}{25}$, $ax+by=1.52c+3.12c^{\prime}$, $ax=1.52c$, $by=3.12c^{\prime}$, $x=c$ e $y=c^{\prime}$