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)

asked Apr 28, 2023 60.1k views

3 votes

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)

6.6k points

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4 votes

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

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:

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

James Wald answered May 2, 2023

6.8k points

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