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Sagot :
[tex] \frac{v-9}{10v} +6=11[/tex]
Subtracting 6 on both sides, we get,
[tex] \frac{v-9}{10v} =11-6[/tex]
[tex] \frac{v-9}{10v} =5[/tex]
Multiplying by 10v on both sides , we get,
[tex] \frac{v-9}{10v}*10v =5 *10v[/tex]
[tex]v-9=50v[/tex]
[tex]-9 = 50v -v[/tex]
[tex]-9=49v[/tex]
[tex] \frac{-9}{49} =v[/tex]
[tex]v=- \frac{9}{49} [/tex]
Subtracting 6 on both sides, we get,
[tex] \frac{v-9}{10v} =11-6[/tex]
[tex] \frac{v-9}{10v} =5[/tex]
Multiplying by 10v on both sides , we get,
[tex] \frac{v-9}{10v}*10v =5 *10v[/tex]
[tex]v-9=50v[/tex]
[tex]-9 = 50v -v[/tex]
[tex]-9=49v[/tex]
[tex] \frac{-9}{49} =v[/tex]
[tex]v=- \frac{9}{49} [/tex]
[tex]\frac{v-9}{10v+6}=11 \\\\ 11(10v+6)=v-9 \\\\ 110v+66=v-9 \\\\ 110v-v=-9-66 \\\\ 109v= -75 \\\\ \boxed{v=-\frac{75}{109}}[/tex]
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