Resolver 426(3x-1):(4y-3):(6x-2y-3)=2:5:4

$$426 ( 3 x - 1 ) : ( 4 y - 3 ) : ( 6 x - 2 y - 3 ) = 2 : 5 : 4$$

Ebatzi: y (complex solution)

$$y=\frac{\sqrt{144x^{2}-102456x+34161}}{8}+\frac{3x}{2}-\frac{3}{8}$$

$$y=-\frac{\sqrt{144x^{2}-102456x+34161}}{8}+\frac{3x}{2}-\frac{3}{8}\text{, }x\neq \frac{1}{3}$$

Ebatzi: x

$$x=-\frac{8y^{2}+6y-4269}{6\left(2133-4y\right)}$$

$$y\neq \frac{3}{4}\text{ and }y\neq -\frac{1}{2}\text{ and }y\neq \frac{2133}{4}$$

Ebatzi: y

$$y=\frac{\sqrt{144x^{2}-102456x+34161}}{8}+\frac{3x}{2}-\frac{3}{8}$$

$$y=-\frac{\sqrt{144x^{2}-102456x+34161}}{8}+\frac{3x}{2}-\frac{3}{8}\text{, }\left(x\leq -\frac{5\sqrt{181902}}{6}+\frac{1423}{4}\text{ and }x\neq \frac{1}{3}\right)\text{ or }x\geq \frac{5\sqrt{181902}}{6}+\frac{1423}{4}$$