Question

X+6y=-36 solve for y

Answer 1

Given the following equation provided in the exercise:

`x+6y=-36`

You can solve for the variable "y" by following the steps shown below:

1. You must apply a property called "Subtraction property of equality". This states that:

`\text{If }A=B,\text{ then }A-C=B-C`

So you must subtract "x" from both sides of the equation:

`\begin{gathered} x+6y-(x)=-36-(x) \\ 6y=-36-x \end{gathered}`

2. Finally, you must apply the "Division property of equality". This states that:

`\text{If }A=B,\text{ then }(A)/(C)=(B)/(C)`

Then, dividing both sides of the equation by 6, you get the equation solved for "y" is:

`\begin{gathered} (6y)/(6)=-(36)/(6)-(x)/(6) \\ \\ y=-(x)/(6)-6 \end{gathered}`