Question

What is the solution for g in this equation 4/3g+7/3g+9=-1/3g-3

Answer 1

Given:

`(4)/(3g)+(7)/(3g)+9=(-1)/(3g)-3`

Multiply through the equation by 3g

This gives

`3g*(4)/(3g)+3g*(7)/(3g)+3g*9=3g*(-1)/(3g)-3g*3`

This gives

`\begin{gathered} 4+7+27g=-1-9g \\ 11+27g=-1-9g \end{gathered}`

Collect like terms

`27g+9g=-1-11`

Simplify and solve for g

`\begin{gathered} 36g=-12 \\ g=(-12)/(36) \\ g=-(1)/(3) \end{gathered}`

Hence, the value of g is

`-(1)/(3)`