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

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

x खातीर सोडोवचें

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

लिनियर समिकरण सोडोवंक पांवडे

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

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

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

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

1 मेळोवंक -1 आनी -1 गुणचें.

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

23 मेळोवंक -23 आनी -1 गुणचें.

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

दोनूय कुशींतल्यान 6\left(-\sqrt{149}\right)x वजा करचें.

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

-6 मेळोवंक -1 आनी 6 गुणचें.

$$10\sqrt{37}x+7\sqrt{37}y+5\sqrt{37}-6\left(-1\right)\sqrt{149}x=\sqrt{149}y+23\sqrt{149}$$

6 मेळोवंक -6 आनी -1 गुणचें.

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

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.

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

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

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

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

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

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

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

y खातीर सोडोवचें

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

लिनियर समिकरण सोडोवंक पांवडे

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

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

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

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

1 मेळोवंक -1 आनी -1 गुणचें.

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

23 मेळोवंक -23 आनी -1 गुणचें.

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

दोनूय कुशींतल्यान \sqrt{149}y वजा करचें.

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

-6 मेळोवंक 6 आनी -1 गुणचें.

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

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.

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

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

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

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

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

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

$$y=\frac{\sqrt{149}+7\sqrt{37}}{1664}\left(-6\sqrt{149}x-10\sqrt{37}x+23\sqrt{149}-5\sqrt{37}\right)$$