(3x-1):(4y-3):(6x-2y-3)=2:5:4 କୁ ସମାଧାନ କରନ୍ତୁ

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

y ପାଇଁ ସମାଧାନ କରନ୍ତୁ (ଜଟଳି ସମାଧାନ)

$$y=\frac{\sqrt{144x^{2}-456x+161}}{8}+\frac{3x}{2}-\frac{3}{8}$$

$$y=-\frac{\sqrt{144x^{2}-456x+161}}{8}+\frac{3x}{2}-\frac{3}{8}\text{, }x\neq \frac{1}{3}$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$x=-\frac{8y^{2}+6y-19}{24\left(2-y\right)}$$

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

y ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$y=\frac{\sqrt{144x^{2}-456x+161}}{8}+\frac{3x}{2}-\frac{3}{8}$$

$$y=-\frac{\sqrt{144x^{2}-456x+161}}{8}+\frac{3x}{2}-\frac{3}{8}\text{, }\left(x\leq -\frac{5\sqrt{2}}{6}+\frac{19}{12}\text{ and }x\neq \frac{1}{3}\right)\text{ or }x\geq \frac{5\sqrt{2}}{6}+\frac{19}{12}$$