Question

2y+1 over 3= y + 5then2y + 1 = 3y +___What number would go in the blank?If you continued to solve, would y = - 14?state either yes or no

Answer 1

To find the number that should go in the blank space, we just need to multiply the initial equation by 3, this way we can eliminate the denominator in the left side of the equation:

`\begin{gathered} (2y+1)/(3)=y+5 \\ 2y+1=3\cdot(y+5) \\ 2y+1=3y+15 \end{gathered}`

So the number we need to fill is 15.

Now, solving this equation for y, we have that:

`\begin{gathered} 2y+1=3y+15 \\ 2y-3y=15-1 \\ -y=14 \\ y=-14 \end{gathered}`

So the answer is YES.