Question

I tried to take a picture but I couldn't send the attachment

Answer 1

the equation is:

`\begin{gathered} (7)/(6)(v+2)+(8)/(9)(v+3)=(11)/(12)(v+1)+5 \\ (7)/(6)v+(2\cdot7)/(6)+(8)/(9)v+(8\cdot3)/(9)=(11)/(12)v+(11)/(12)+5 \\ (7)/(6)v+(14)/(6)+(8)/(9)v+(24)/(9)=(11)/(12)v+(11)/(12)+5 \end{gathered}`

until now I only multiply the factor for the values inside the parenthesis, now I will move the terms with "v" on the left side of the equal and the independent terms to the right side:

`\begin{gathered} (7)/(6)v+(8)/(9)v-(11)/(12)v=(11)/(12)+5-(14)/(6)-(24)/(9) \\ ((7)/(6)+(8)/(9)-(11)/(12))v=(11)/(12)+5-(14)/(6)-(24)/(9) \end{gathered}`

and now we just sum the fractions

`\begin{gathered} (41)/(36)v=(11)/(12) \\ v=(11)/(12)\cdot(36)/(41) \\ v=(33)/(41) \end{gathered}`

so the answer is v=33/41