Answer:
v = - [tex]\frac{39}{20}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] - [tex]\frac{2}{3}[/tex] v = [tex]\frac{4}{5}[/tex]
Multiply through by 30 ( the LCM of 2, 3 and 5 )
- 15 - 20v = 24 ( add 15 to both sides )
- 20v = 39 ( divide both sides by - 20 )
v = - [tex]\frac{39}{20}[/tex]
Answer:
[tex]v=-\frac{39}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}[/tex]
Add 1/2 to both sides
[tex]-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}[/tex]
[tex]-\frac{2}{3}v=\frac{13}{10}[/tex]
Multiply both sides by 3
[tex]3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}[/tex]
[tex]-2v=\frac{39}{10}[/tex]
Divide both sides by -2
[tex]\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}[/tex]
[tex]v=-\frac{39}{20}[/tex]
Therefore,
[tex]v=-\frac{39}{20}[/tex]
