solve for v. \n\\( \\frac { 1 } { 2 } v + 8 = 3 - \\frac { 1 } { 3 } v \\)
solve for v. \n\\( \\frac { 1 } { 2 } v + 8 = 3 - \\frac { 1 } { 3 } v \\)
Answer
Explanation:
Step1: Eliminate fractions by multiplying through by 6
Multiply each term in the equation (\frac{1}{2}v + 8=3-\frac{1}{3}v) by 6. [ \begin{align*} 6\times(\frac{1}{2}v)+6\times8&=6\times3 - 6\times(\frac{1}{3}v)\ 3v + 48&=18-2v \end{align*} ]
Step2: Add (2v) to both sides
To get the (v) terms on one side. [ \begin{align*} 3v+2v + 48&=18-2v+2v\ 5v+48&=18 \end{align*} ]
Step3: Subtract 48 from both sides
[ \begin{align*} 5v+48 - 48&=18-48\ 5v&=-30 \end{align*} ]
Step4: Divide both sides by 5
[ \begin{align*} \frac{5v}{5}&=\frac{-30}{5}\ v&=- 6 \end{align*} ]
Answer:
(-6)