सोडोवचें (x+y)(z+y)+3x-5y=12.753

$$( x + y ) ( z + y ) + 3 x - 5 y = 12.753$$

x खातीर सोडोवचें

$$\left\{\begin{matrix}x=-\frac{y^{2}+yz-5y-12.753}{y+z+3}\text{, }&y\neq -\left(z+3\right)\\x\in \mathrm{R}\text{, }&y=-\frac{12753}{8000}\text{ and }z=-\frac{11247}{8000}\end{matrix}\right.$$

लिनियर समिकरण सोडोवंक पांवडे

z+y न x+y गुणपाक विभाजक विशमाचो वापर करचो.

$$xz+xy+yz+y^{2}+3x-5y=12.753$$

दोनूय कुशींतल्यान yz वजा करचें.

$$xz+xy+y^{2}+3x-5y=12.753-yz$$

दोनूय कुशींतल्यान y^{2} वजा करचें.

$$xz+xy+3x-5y=12.753-yz-y^{2}$$

दोनूय वटांनी 5y जोडचे.

$$xz+xy+3x=12.753-yz-y^{2}+5y$$

x आसपी सगळ्यो संज्ञा एकठांय करच्यो.

$$\left(z+y+3\right)x=12.753-yz-y^{2}+5y$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\left(y+z+3\right)x=12.753+5y-yz-y^{2}$$

दोनुय कुशींक y+z+3 न भाग लावचो.

$$\frac{\left(y+z+3\right)x}{y+z+3}=\frac{12.753+5y-yz-y^{2}}{y+z+3}$$

y+z+3 वरवीं भागाकार केल्यार y+z+3 वरवीं केल्लो गुणाकार काडटा.

$$x=\frac{12.753+5y-yz-y^{2}}{y+z+3}$$

y खातीर सोडोवचें

$$y=\frac{\sqrt{x^{2}-2xz-22x+z^{2}-10z+76.012}-x-z+5}{2}$$

$$y=\frac{-\sqrt{x^{2}-2xz-22x+z^{2}-10z+76.012}-x-z+5}{2}\text{, }x\geq z+\frac{\sqrt{128z+179.952}}{2}+11\text{ or }x\leq z-\frac{\sqrt{128z+179.952}}{2}+11\text{ or }z\leq -\frac{11247}{8000}$$