Question

Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.

4y + 2 =-1/3
(8-12y)

Answer 1

`\displaystyle\\Answer: y=-(7)/(12)`

Explanation:

`\displaystyle\\4y+2=-(1)/(3)\\\\`

Multiply both parts of the equation by 3:

`\displaystyle\\(3)(4y+2)=(-(1)/(3) )(3)\\12y+6=-1\\12y+6-6=-1-6\\12y=-7`

Divide both parts of the equation by 12:

`\displaystyle\\y=-(7)/(12)`