सोडोवचें sqrt{37}(10x+7y+5)=sqrt{149}(6x-y-23)

$$\sqrt { 37 } ( 10 x + 7 y + 5 ) = \sqrt { 149 } ( 6 x - y - 23 )$$

x खातीर सोडोवचें

$$x=\frac{\sqrt{5513}y+67y+5\sqrt{5513}+431}{32}$$

लिनियर समिकरण सोडोवंक पांवडे

10x+7y+5 न \sqrt{37} गुणपाक विभाजक विशमाचो वापर करचो.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}=\sqrt{149}\left(6x-y-23\right)$$

6x-y-23 न \sqrt{149} गुणपाक विभाजक विशमाचो वापर करचो.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}=6\sqrt{149}x-\sqrt{149}y-23\sqrt{149}$$

दोनूय कुशींतल्यान 6\sqrt{149}x वजा करचें.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}-6\sqrt{149}x=-\sqrt{149}y-23\sqrt{149}$$

दोनूय कुशींतल्यान 7\sqrt{37}y वजा करचें.

$$10\sqrt{37}x+5\sqrt{37}-6\sqrt{149}x=-\sqrt{149}y-23\sqrt{149}-7\sqrt{37}y$$

दोनूय कुशींतल्यान 5\sqrt{37} वजा करचें.

$$10\sqrt{37}x-6\sqrt{149}x=-\sqrt{149}y-23\sqrt{149}-7\sqrt{37}y-5\sqrt{37}$$

x आसपी सगळ्यो संज्ञा एकठांय करच्यो.

$$\left(10\sqrt{37}-6\sqrt{149}\right)x=-\sqrt{149}y-23\sqrt{149}-7\sqrt{37}y-5\sqrt{37}$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\left(10\sqrt{37}-6\sqrt{149}\right)x=-7\sqrt{37}y-\sqrt{149}y-5\sqrt{37}-23\sqrt{149}$$

दोनुय कुशींक 10\sqrt{37}-6\sqrt{149} न भाग लावचो.

$$\frac{\left(10\sqrt{37}-6\sqrt{149}\right)x}{10\sqrt{37}-6\sqrt{149}}=\frac{-7\sqrt{37}y-\sqrt{149}y-5\sqrt{37}-23\sqrt{149}}{10\sqrt{37}-6\sqrt{149}}$$

10\sqrt{37}-6\sqrt{149} वरवीं भागाकार केल्यार 10\sqrt{37}-6\sqrt{149} वरवीं केल्लो गुणाकार काडटा.

$$x=\frac{-7\sqrt{37}y-\sqrt{149}y-5\sqrt{37}-23\sqrt{149}}{10\sqrt{37}-6\sqrt{149}}$$

10\sqrt{37}-6\sqrt{149} न-\sqrt{149}y-23\sqrt{149}-7\sqrt{37}y-5\sqrt{37} क भाग लावचो.

$$x=\frac{\frac{3\sqrt{149}+5\sqrt{37}}{416}\left(7\sqrt{37}y+\sqrt{149}y+5\sqrt{37}+23\sqrt{149}\right)}{2}$$

y खातीर सोडोवचें

$$y=\frac{\sqrt{5513}x-67x+41-3\sqrt{5513}}{32}$$

लिनियर समिकरण सोडोवंक पांवडे

10x+7y+5 न \sqrt{37} गुणपाक विभाजक विशमाचो वापर करचो.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}=\sqrt{149}\left(6x-y-23\right)$$

6x-y-23 न \sqrt{149} गुणपाक विभाजक विशमाचो वापर करचो.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}=6\sqrt{149}x-\sqrt{149}y-23\sqrt{149}$$

दोनूय वटांनी \sqrt{149}y जोडचे.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}+\sqrt{149}y=6\sqrt{149}x-23\sqrt{149}$$

दोनूय कुशींतल्यान 10\sqrt{37}x वजा करचें.

$$7\sqrt{37}y+5\sqrt{37}+\sqrt{149}y=6\sqrt{149}x-23\sqrt{149}-10\sqrt{37}x$$

दोनूय कुशींतल्यान 5\sqrt{37} वजा करचें.

$$7\sqrt{37}y+\sqrt{149}y=6\sqrt{149}x-23\sqrt{149}-10\sqrt{37}x-5\sqrt{37}$$

y आसपी सगळ्यो संज्ञा एकठांय करच्यो.

$$\left(7\sqrt{37}+\sqrt{149}\right)y=6\sqrt{149}x-23\sqrt{149}-10\sqrt{37}x-5\sqrt{37}$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\left(\sqrt{149}+7\sqrt{37}\right)y=6\sqrt{149}x-10\sqrt{37}x-5\sqrt{37}-23\sqrt{149}$$

दोनुय कुशींक 7\sqrt{37}+\sqrt{149} न भाग लावचो.

$$\frac{\left(\sqrt{149}+7\sqrt{37}\right)y}{\sqrt{149}+7\sqrt{37}}=\frac{6\sqrt{149}x-10\sqrt{37}x-5\sqrt{37}-23\sqrt{149}}{\sqrt{149}+7\sqrt{37}}$$

7\sqrt{37}+\sqrt{149} वरवीं भागाकार केल्यार 7\sqrt{37}+\sqrt{149} वरवीं केल्लो गुणाकार काडटा.

$$y=\frac{6\sqrt{149}x-10\sqrt{37}x-5\sqrt{37}-23\sqrt{149}}{\sqrt{149}+7\sqrt{37}}$$

7\sqrt{37}+\sqrt{149} न6\sqrt{149}x-23\sqrt{149}-10\sqrt{37}x-5\sqrt{37} क भाग लावचो.

$$y=\frac{\sqrt{5513}x-67x+41-3\sqrt{5513}}{32}$$