Question

What is the answer for -6y+13+9y=8y-3. Step by step. Would it be a no solution problem?

Answer 1

`y=3(1)/(5)`

Step-by-step explanation:

Given the equation:

`-6y+13+9y=8y-3`

First, we simplify the left-hand side.

`3y+13=8y-3`

Next, we subtract 13 from both sides of the equation.

`\begin{gathered} 3y+13-13=8y-3-13 \\ 3y=8y-16 \end{gathered}`

Next, subtract 8y from both sides.

`\begin{gathered} 3y-8y=8y-8y-16 \\ -5y=-16 \end{gathered}`

Finally, to solve for y, divide both sides by -5.

`\begin{gathered} (-5y)/(-5)=(-16)/(-5) \\ y=3(1)/(5) \end{gathered}`

The solution of the equation is y=3 1/5.