consider the equation \\( \\frac { 5 } { 3 } v + 4 + \\frac { 1 } { 3 } v = 8 \\). what is the resulting…

consider the equation \\( \\frac { 5 } { 3 } v + 4 + \\frac { 1 } { 3 } v = 8 \\). what is the resulting equation after the first step in the solution?\n\\( \\frac { 5 } { 3 } v + 4 = 8 - \\frac { 1 } { 3 } v \\)\n\\( \\frac { 4 } { 3 } v + 4 = 8 \\)\n\\( 4 + v = 8 - \\frac { 5 } { 3 } v \\)\n\\( 2 v + 4 = 8 \\)

consider the equation \\( \\frac { 5 } { 3 } v + 4 + \\frac { 1 } { 3 } v = 8 \\). what is the resulting equation after the first step in the solution?\n\\( \\frac { 5 } { 3 } v + 4 = 8 - \\frac { 1 } { 3 } v \\)\n\\( \\frac { 4 } { 3 } v + 4 = 8 \\)\n\\( 4 + v = 8 - \\frac { 5 } { 3 } v \\)\n\\( 2 v + 4 = 8 \\)

Answer

Explanation:

Step1: Combine like terms

$$ \begin{align*} \frac{5}{3}v+\frac{1}{3}v + 4&=8\ \left(\frac{5}{3}+\frac{1}{3}\right)v+4&=8\ \frac{5 + 1}{3}v+4&=8\ \frac{6}{3}v+4&=8\ 2v+4&=8 \end{align*} $$

Answer:

$2v + 4 = 8$ (the fourth option)