Describe and correct the error in the conditional statement about lines. If two lines do not intersect, then they are parallel.

x= -15

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x+9=-6

9 is being added onto x. (+9) The opposite of addition is subtraction. Therefore, subtract 9 from both sides (-9) +9 and -9 will cancel and leave x by itself.

x+9-9= -6-9

x=-6-9

x=-15

If we want to check our answer, we can substitute -15 for x in the original equation.

x+9 = -6

-15+9=-6

-6=-6

This is true, so we know our answer is correct.